What is the Greatest Common Factor of 93625 and 93635?

Greatest common factor (GCF) of 93625 and 93635 is 5.

GCF(93625,93635) = 5

We will now calculate the prime factors of 93625 and 93635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93625 and 93635.

How to find the GCF of 93625 and 93635?

We will first find the prime factorization of 93625 and 93635. After we will calculate the factors of 93625 and 93635 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 93635

Prime factors of 93635 are 5, 61, 307. Prime factorization of 93635 in exponential form is:

93635 = 5¹ × 61¹ × 307¹

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 93635

List of positive integer factors of 93635 that divides 93625 without a remainder.

1, 5, 61, 305, 307, 1535, 18727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93625 and 93635. The biggest common factor number is the GCF number.
So the greatest common factor 93625 and 93635 is 5.

Also check out the Least Common Multiple of 93625 and 93635