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What is the Greatest Common Factor of 6 and 20?

Greatest common factor (GCF) of 6 and 20 is 2.

GCF(6,20) = 2

We will now calculate the prime factors of 6 and 20, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 20.

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How to find the GCF of 6 and 20?

We will first find the prime factorization of 6 and 20. After we will calculate the factors of 6 and 20 and find the biggest common factor number .

Step-1: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

Step-2: Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is:

20 = 22 × 51

Step-3: Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3

Step-4: Factors of 20

List of positive integer factors of 20 that divides 6 without a remainder.

1, 2, 4, 5, 10

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6 and 20. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 20 is 2.

Also check out the Least Common Multiple of 6 and 20

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