What is the Greatest Common Factor of 86926 and 86932?

Greatest common factor (GCF) of 86926 and 86932 is 2.

GCF(86926,86932) = 2

We will now calculate the prime factors of 86926 and 86932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86926 and 86932.

How to find the GCF of 86926 and 86932?

We will first find the prime factorization of 86926 and 86932. After we will calculate the factors of 86926 and 86932 and find the biggest common factor number .

Step-1: Prime Factorization of 86926

Prime factors of 86926 are 2, 7, 887. Prime factorization of 86926 in exponential form is:

86926 = 2¹ × 7² × 887¹

Step-2: Prime Factorization of 86932

Prime factors of 86932 are 2, 103, 211. Prime factorization of 86932 in exponential form is:

86932 = 2² × 103¹ × 211¹

Step-3: Factors of 86926

List of positive integer factors of 86926 that divides 86926 without a remainder.

1, 2, 7, 14, 49, 98, 887, 1774, 6209, 12418, 43463

Step-4: Factors of 86932

List of positive integer factors of 86932 that divides 86926 without a remainder.

1, 2, 4, 103, 206, 211, 412, 422, 844, 21733, 43466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86926 and 86932. The biggest common factor number is the GCF number.
So the greatest common factor 86926 and 86932 is 2.

Also check out the Least Common Multiple of 86926 and 86932