What is the Greatest Common Factor of 86742 and 86756?

Greatest common factor (GCF) of 86742 and 86756 is 2.

GCF(86742,86756) = 2

We will now calculate the prime factors of 86742 and 86756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86742 and 86756.

How to find the GCF of 86742 and 86756?

We will first find the prime factorization of 86742 and 86756. After we will calculate the factors of 86742 and 86756 and find the biggest common factor number .

Step-1: Prime Factorization of 86742

Prime factors of 86742 are 2, 3, 61, 79. Prime factorization of 86742 in exponential form is:

86742 = 2¹ × 3² × 61¹ × 79¹

Step-2: Prime Factorization of 86756

Prime factors of 86756 are 2, 23, 41. Prime factorization of 86756 in exponential form is:

86756 = 2² × 23² × 41¹

Step-3: Factors of 86742

List of positive integer factors of 86742 that divides 86742 without a remainder.

1, 2, 3, 6, 9, 18, 61, 79, 122, 158, 183, 237, 366, 474, 549, 711, 1098, 1422, 4819, 9638, 14457, 28914, 43371

Step-4: Factors of 86756

List of positive integer factors of 86756 that divides 86742 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 529, 943, 1058, 1886, 2116, 3772, 21689, 43378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86742 and 86756. The biggest common factor number is the GCF number.
So the greatest common factor 86742 and 86756 is 2.

Also check out the Least Common Multiple of 86742 and 86756