What is the Greatest Common Factor of 96625 and 96645?

Greatest common factor (GCF) of 96625 and 96645 is 5.

GCF(96625,96645) = 5

We will now calculate the prime factors of 96625 and 96645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96625 and 96645.

How to find the GCF of 96625 and 96645?

We will first find the prime factorization of 96625 and 96645. After we will calculate the factors of 96625 and 96645 and find the biggest common factor number .

Step-1: Prime Factorization of 96625

Prime factors of 96625 are 5, 773. Prime factorization of 96625 in exponential form is:

96625 = 5³ × 773¹

Step-2: Prime Factorization of 96645

Prime factors of 96645 are 3, 5, 17, 379. Prime factorization of 96645 in exponential form is:

96645 = 3¹ × 5¹ × 17¹ × 379¹

Step-3: Factors of 96625

List of positive integer factors of 96625 that divides 96625 without a remainder.

1, 5, 25, 125, 773, 3865, 19325

Step-4: Factors of 96645

List of positive integer factors of 96645 that divides 96625 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 379, 1137, 1895, 5685, 6443, 19329, 32215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96625 and 96645. The biggest common factor number is the GCF number.
So the greatest common factor 96625 and 96645 is 5.

Also check out the Least Common Multiple of 96625 and 96645