What is the Greatest Common Factor of 86632 and 86645?

Greatest common factor (GCF) of 86632 and 86645 is 13.

GCF(86632,86645) = 13

We will now calculate the prime factors of 86632 and 86645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86632 and 86645.

How to find the GCF of 86632 and 86645?

We will first find the prime factorization of 86632 and 86645. After we will calculate the factors of 86632 and 86645 and find the biggest common factor number .

Step-1: Prime Factorization of 86632

Prime factors of 86632 are 2, 7, 13, 17. Prime factorization of 86632 in exponential form is:

86632 = 2³ × 7² × 13¹ × 17¹

Step-2: Prime Factorization of 86645

Prime factors of 86645 are 5, 13, 31, 43. Prime factorization of 86645 in exponential form is:

86645 = 5¹ × 13¹ × 31¹ × 43¹

Step-3: Factors of 86632

List of positive integer factors of 86632 that divides 86632 without a remainder.

1, 2, 4, 7, 8, 13, 14, 17, 26, 28, 34, 49, 52, 56, 68, 91, 98, 104, 119, 136, 182, 196, 221, 238, 364, 392, 442, 476, 637, 728, 833, 884, 952, 1274, 1547, 1666, 1768, 2548, 3094, 3332, 5096, 6188, 6664, 10829, 12376, 21658, 43316

Step-4: Factors of 86645

List of positive integer factors of 86645 that divides 86632 without a remainder.

1, 5, 13, 31, 43, 65, 155, 215, 403, 559, 1333, 2015, 2795, 6665, 17329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86632 and 86645. The biggest common factor number is the GCF number.
So the greatest common factor 86632 and 86645 is 13.

Also check out the Least Common Multiple of 86632 and 86645