What is the Greatest Common Factor of 93625 and 93639?

Greatest common factor (GCF) of 93625 and 93639 is 7.

GCF(93625,93639) = 7

We will now calculate the prime factors of 93625 and 93639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93625 and 93639.

How to find the GCF of 93625 and 93639?

We will first find the prime factorization of 93625 and 93639. After we will calculate the factors of 93625 and 93639 and find the biggest common factor number .

Step-1: Prime Factorization of 93625

Prime factors of 93625 are 5, 7, 107. Prime factorization of 93625 in exponential form is:

93625 = 5³ × 7¹ × 107¹

Step-2: Prime Factorization of 93639

Prime factors of 93639 are 3, 7, 13. Prime factorization of 93639 in exponential form is:

93639 = 3¹ × 7⁴ × 13¹

Step-3: Factors of 93625

List of positive integer factors of 93625 that divides 93625 without a remainder.

1, 5, 7, 25, 35, 107, 125, 175, 535, 749, 875, 2675, 3745, 13375, 18725

Step-4: Factors of 93639

List of positive integer factors of 93639 that divides 93625 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 2401, 4459, 7203, 13377, 31213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93625 and 93639. The biggest common factor number is the GCF number.
So the greatest common factor 93625 and 93639 is 7.

Also check out the Least Common Multiple of 93625 and 93639