What is the Greatest Common Factor of 96615 and 96625?

Greatest common factor (GCF) of 96615 and 96625 is 5.

GCF(96615,96625) = 5

We will now calculate the prime factors of 96615 and 96625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96615 and 96625.

How to find the GCF of 96615 and 96625?

We will first find the prime factorization of 96615 and 96625. After we will calculate the factors of 96615 and 96625 and find the biggest common factor number .

Step-1: Prime Factorization of 96615

Prime factors of 96615 are 3, 5, 19, 113. Prime factorization of 96615 in exponential form is:

96615 = 3² × 5¹ × 19¹ × 113¹

Step-2: Prime Factorization of 96625

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

96625 = 5³ × 773¹

Step-3: Factors of 96615

List of positive integer factors of 96615 that divides 96615 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 113, 171, 285, 339, 565, 855, 1017, 1695, 2147, 5085, 6441, 10735, 19323, 32205

Step-4: Factors of 96625

List of positive integer factors of 96625 that divides 96615 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96615 and 96625. The biggest common factor number is the GCF number.
So the greatest common factor 96615 and 96625 is 5.

Also check out the Least Common Multiple of 96615 and 96625