What is the Greatest Common Factor of 81152 and 81164?

Greatest common factor (GCF) of 81152 and 81164 is 4.

GCF(81152,81164) = 4

We will now calculate the prime factors of 81152 and 81164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81152 and 81164.

How to find the GCF of 81152 and 81164?

We will first find the prime factorization of 81152 and 81164. After we will calculate the factors of 81152 and 81164 and find the biggest common factor number .

Step-1: Prime Factorization of 81152

Prime factors of 81152 are 2, 317. Prime factorization of 81152 in exponential form is:

81152 = 2⁸ × 317¹

Step-2: Prime Factorization of 81164

Prime factors of 81164 are 2, 103, 197. Prime factorization of 81164 in exponential form is:

81164 = 2² × 103¹ × 197¹

Step-3: Factors of 81152

List of positive integer factors of 81152 that divides 81152 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 317, 634, 1268, 2536, 5072, 10144, 20288, 40576

Step-4: Factors of 81164

List of positive integer factors of 81164 that divides 81152 without a remainder.

1, 2, 4, 103, 197, 206, 394, 412, 788, 20291, 40582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81152 and 81164. The biggest common factor number is the GCF number.
So the greatest common factor 81152 and 81164 is 4.

Also check out the Least Common Multiple of 81152 and 81164