What is the Greatest Common Factor of 88712 and 88725?

Greatest common factor (GCF) of 88712 and 88725 is 13.

GCF(88712,88725) = 13

We will now calculate the prime factors of 88712 and 88725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88712 and 88725.

How to find the GCF of 88712 and 88725?

We will first find the prime factorization of 88712 and 88725. After we will calculate the factors of 88712 and 88725 and find the biggest common factor number .

Step-1: Prime Factorization of 88712

Prime factors of 88712 are 2, 13, 853. Prime factorization of 88712 in exponential form is:

88712 = 2³ × 13¹ × 853¹

Step-2: Prime Factorization of 88725

Prime factors of 88725 are 3, 5, 7, 13. Prime factorization of 88725 in exponential form is:

88725 = 3¹ × 5² × 7¹ × 13²

Step-3: Factors of 88712

List of positive integer factors of 88712 that divides 88712 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 853, 1706, 3412, 6824, 11089, 22178, 44356

Step-4: Factors of 88725

List of positive integer factors of 88725 that divides 88712 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 169, 175, 195, 273, 325, 455, 507, 525, 845, 975, 1183, 1365, 2275, 2535, 3549, 4225, 5915, 6825, 12675, 17745, 29575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88712 and 88725. The biggest common factor number is the GCF number.
So the greatest common factor 88712 and 88725 is 13.

Also check out the Least Common Multiple of 88712 and 88725