What is the Greatest Common Factor of 86625 and 86639?

Greatest common factor (GCF) of 86625 and 86639 is 7.

GCF(86625,86639) = 7

We will now calculate the prime factors of 86625 and 86639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86625 and 86639.

How to find the GCF of 86625 and 86639?

We will first find the prime factorization of 86625 and 86639. After we will calculate the factors of 86625 and 86639 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 86639

Prime factors of 86639 are 7, 12377. Prime factorization of 86639 in exponential form is:

86639 = 7¹ × 12377¹

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 86639

List of positive integer factors of 86639 that divides 86625 without a remainder.

1, 7, 12377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86625 and 86639. The biggest common factor number is the GCF number.
So the greatest common factor 86625 and 86639 is 7.

Also check out the Least Common Multiple of 86625 and 86639