What is the Greatest Common Factor of 66724 and 66731?

Greatest common factor (GCF) of 66724 and 66731 is 7.

GCF(66724,66731) = 7

We will now calculate the prime factors of 66724 and 66731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66724 and 66731.

How to find the GCF of 66724 and 66731?

We will first find the prime factorization of 66724 and 66731. After we will calculate the factors of 66724 and 66731 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66731

Prime factors of 66731 are 7, 9533. Prime factorization of 66731 in exponential form is:

66731 = 7¹ × 9533¹

Step-3: Factors of 66724

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

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

Step-4: Factors of 66731

List of positive integer factors of 66731 that divides 66724 without a remainder.

1, 7, 9533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66724 and 66731. The biggest common factor number is the GCF number.
So the greatest common factor 66724 and 66731 is 7.

Also check out the Least Common Multiple of 66724 and 66731