What is the Greatest Common Factor of 86625 and 86640?

Greatest common factor (GCF) of 86625 and 86640 is 15.

GCF(86625,86640) = 15

We will now calculate the prime factors of 86625 and 86640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86625 and 86640.

How to find the GCF of 86625 and 86640?

We will first find the prime factorization of 86625 and 86640. After we will calculate the factors of 86625 and 86640 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 86640

Prime factors of 86640 are 2, 3, 5, 19. Prime factorization of 86640 in exponential form is:

86640 = 2⁴ × 3¹ × 5¹ × 19²

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 86640

List of positive integer factors of 86640 that divides 86625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 361, 380, 456, 570, 722, 760, 912, 1083, 1140, 1444, 1520, 1805, 2166, 2280, 2888, 3610, 4332, 4560, 5415, 5776, 7220, 8664, 10830, 14440, 17328, 21660, 28880, 43320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86625 and 86640. The biggest common factor number is the GCF number.
So the greatest common factor 86625 and 86640 is 15.

Also check out the Least Common Multiple of 86625 and 86640