how can you find the greatest common factor The greatest common divisor GCD and greatest common factor GCF are the same thing To find the GCD GCF of two numbers list their factors identify the common factors and choose the largest one For example the GCD GCF of 12 and 8 is 4 Numbers with a GCD GCF of 1 are called relatively prime Created by Sal Khan
Earlier we found that the Common Factors of 12 and 30 are 1 2 3 and 6 and so the Greatest Common Factor is 6 So the largest number we can divide both 12 and 30 exactly by is 6 like this 6 In order to find the greatest common factor of two given numbers you need to find all the factors of both the numbers and then identify the common factors Find out the GCF of 18 and 24 Prime factors of 18 2 3 3 Prime factors of 24 2 2 2 3 They have factors 2 and 3 in common so thus G C F of 18 and 24 is 2 3 6 Also try GCF calculator
how can you find the greatest common factor
how can you find the greatest common factor
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Following are the three methods for finding the greatest common factor of two numbers Listing out common factors Prime factorization Division method GCF by Listing Factors In this method factors of both the numbers can be listed then it becomes easy to check for the common factors The greatest common factor can be estimated with the use of LCM The following expression is valid gcf a b a b lcm a b It may be handy to find the least common multiple first due to the complexity and duration
About Transcript The greatest common factor GCF of a set of numbers is the largest factor that all the numbers share For example 12 20 and 24 have two common factors 2 and 4 The largest is 4 so we say that the GCF of 12 20 and 24 is 4 GCF is often used to find common denominators Created by Sal Khan Questions Tips Thanks One way to find the GCF of two or more numbers is to list the factors of each number and find the greatest factor they have in common Want to learn more about greatest common factors Check out this video Example GCF of 12 and 18 Factors of 12 1 2 3 4 6 12 Factors of 18 1 2 3 6 9 18
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Greatest Common Factor Example 1 Find the GCF for 8 and 12 Solution The factors of 8 are 1 2 4 8 The factors of 12 are 1 2 3 4 6 12 Numbers 2 and 4 are in common Then the greatest common factor is 4 The greatest common factor of 8 and 12 is 4 To arrive at this answer you need to follow these steps List all factors for both numbers 8 1 2 4 8 12 1 2 3 4 6 12 Gather the common factors between the two numbers 1 2 4 4 is the largest in this list hence the greatest common factor of 8 and 12
Find the GCF of enter two or more whole numbers separated by commas or spaces Answer GCF 4 Greatest Common Factor for the values 8 12 20 Solution by Factorization The factors of 8 are 1 2 4 8 The factors of 12 are 1 2 3 4 6 12 The factors of 20 are 1 2 4 5 10 20 Then the greatest common factor is 4 Factors of 24 1 2 3 4 6 8 12 24 Factors of 30 1 2 3 5 6 10 15 30 Common factors of 24 and 30 1 2 3 6 Begin here Order decimals Arrange the Decimal Numbers From Smallest to Greatest Game Play Compare and Order Decimals Choose Greatest or Least Decimal Game Play Compare Numbers Choose Greatest or Least Number
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how can you find the greatest common factor - The greatest common factor can be estimated with the use of LCM The following expression is valid gcf a b a b lcm a b It may be handy to find the least common multiple first due to the complexity and duration