What is the Greatest Common Factor of 93605 and 93625?

Greatest common factor (GCF) of 93605 and 93625 is 5.

GCF(93605,93625) = 5

We will now calculate the prime factors of 93605 and 93625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93605 and 93625.

How to find the GCF of 93605 and 93625?

We will first find the prime factorization of 93605 and 93625. After we will calculate the factors of 93605 and 93625 and find the biggest common factor number .

Step-1: Prime Factorization of 93605

Prime factors of 93605 are 5, 97, 193. Prime factorization of 93605 in exponential form is:

93605 = 5¹ × 97¹ × 193¹

Step-2: 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-3: Factors of 93605

List of positive integer factors of 93605 that divides 93605 without a remainder.

1, 5, 97, 193, 485, 965, 18721

Step-4: Factors of 93625

List of positive integer factors of 93625 that divides 93605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93605 and 93625. The biggest common factor number is the GCF number.
So the greatest common factor 93605 and 93625 is 5.

Also check out the Least Common Multiple of 93605 and 93625