What is the Greatest Common Factor of 86625 and 86635?

Greatest common factor (GCF) of 86625 and 86635 is 5.

GCF(86625,86635) = 5

We will now calculate the prime factors of 86625 and 86635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86625 and 86635.

How to find the GCF of 86625 and 86635?

We will first find the prime factorization of 86625 and 86635. After we will calculate the factors of 86625 and 86635 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 86635

Prime factors of 86635 are 5, 17327. Prime factorization of 86635 in exponential form is:

86635 = 5¹ × 17327¹

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 86635

List of positive integer factors of 86635 that divides 86625 without a remainder.

1, 5, 17327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86625 and 86635. The biggest common factor number is the GCF number.
So the greatest common factor 86625 and 86635 is 5.

Also check out the Least Common Multiple of 86625 and 86635