What is the Greatest Common Factor of 66717 and 66724?

Greatest common factor (GCF) of 66717 and 66724 is 7.

GCF(66717,66724) = 7

We will now calculate the prime factors of 66717 and 66724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66717 and 66724.

How to find the GCF of 66717 and 66724?

We will first find the prime factorization of 66717 and 66724. After we will calculate the factors of 66717 and 66724 and find the biggest common factor number .

Step-1: Prime Factorization of 66717

Prime factors of 66717 are 3, 7, 353. Prime factorization of 66717 in exponential form is:

66717 = 3³ × 7¹ × 353¹

Step-2: Prime Factorization of 66724

Prime factors of 66724 are 2, 7, 2383. Prime factorization of 66724 in exponential form is:

66724 = 2² × 7¹ × 2383¹

Step-3: Factors of 66717

List of positive integer factors of 66717 that divides 66717 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 353, 1059, 2471, 3177, 7413, 9531, 22239

Step-4: Factors of 66724

List of positive integer factors of 66724 that divides 66717 without a remainder.

1, 2, 4, 7, 14, 28, 2383, 4766, 9532, 16681, 33362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66717 and 66724. The biggest common factor number is the GCF number.
So the greatest common factor 66717 and 66724 is 7.

Also check out the Least Common Multiple of 66717 and 66724