What is the Greatest Common Factor of 86625 and 86632?

Greatest common factor (GCF) of 86625 and 86632 is 7.

GCF(86625,86632) = 7

We will now calculate the prime factors of 86625 and 86632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86625 and 86632.

How to find the GCF of 86625 and 86632?

We will first find the prime factorization of 86625 and 86632. After we will calculate the factors of 86625 and 86632 and find the biggest common factor number .

Step-1: Prime Factorization of 86625

Prime factors of 86625 are 3, 5, 7, 11. Prime factorization of 86625 in exponential form is:

86625 = 3² × 5³ × 7¹ × 11¹

Step-2: 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-3: Factors of 86625

List of positive integer factors of 86625 that divides 86625 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 125, 165, 175, 225, 231, 275, 315, 375, 385, 495, 525, 693, 825, 875, 1125, 1155, 1375, 1575, 1925, 2475, 2625, 3465, 4125, 5775, 7875, 9625, 12375, 17325, 28875

Step-4: Factors of 86632

List of positive integer factors of 86632 that divides 86625 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86625 and 86632. The biggest common factor number is the GCF number.
So the greatest common factor 86625 and 86632 is 7.

Also check out the Least Common Multiple of 86625 and 86632