What is the Greatest Common Factor of 96156 and 96164?

Greatest common factor (GCF) of 96156 and 96164 is 4.

GCF(96156,96164) = 4

We will now calculate the prime factors of 96156 and 96164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96156 and 96164.

How to find the GCF of 96156 and 96164?

We will first find the prime factorization of 96156 and 96164. After we will calculate the factors of 96156 and 96164 and find the biggest common factor number .

Step-1: Prime Factorization of 96156

Prime factors of 96156 are 2, 3, 2671. Prime factorization of 96156 in exponential form is:

96156 = 2² × 3² × 2671¹

Step-2: Prime Factorization of 96164

Prime factors of 96164 are 2, 29, 829. Prime factorization of 96164 in exponential form is:

96164 = 2² × 29¹ × 829¹

Step-3: Factors of 96156

List of positive integer factors of 96156 that divides 96156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2671, 5342, 8013, 10684, 16026, 24039, 32052, 48078

Step-4: Factors of 96164

List of positive integer factors of 96164 that divides 96156 without a remainder.

1, 2, 4, 29, 58, 116, 829, 1658, 3316, 24041, 48082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96156 and 96164. The biggest common factor number is the GCF number.
So the greatest common factor 96156 and 96164 is 4.

Also check out the Least Common Multiple of 96156 and 96164