What is the Greatest Common Factor of 96645 and 96657?

Greatest common factor (GCF) of 96645 and 96657 is 3.

GCF(96645,96657) = 3

We will now calculate the prime factors of 96645 and 96657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96645 and 96657.

How to find the GCF of 96645 and 96657?

We will first find the prime factorization of 96645 and 96657. After we will calculate the factors of 96645 and 96657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96657

Prime factors of 96657 are 3, 11, 29, 101. Prime factorization of 96657 in exponential form is:

96657 = 3¹ × 11¹ × 29¹ × 101¹

Step-3: Factors of 96645

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

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

Step-4: Factors of 96657

List of positive integer factors of 96657 that divides 96645 without a remainder.

1, 3, 11, 29, 33, 87, 101, 303, 319, 957, 1111, 2929, 3333, 8787, 32219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96645 and 96657. The biggest common factor number is the GCF number.
So the greatest common factor 96645 and 96657 is 3.

Also check out the Least Common Multiple of 96645 and 96657