What is the Greatest Common Factor of 81152 and 81172?

Greatest common factor (GCF) of 81152 and 81172 is 4.

GCF(81152,81172) = 4

We will now calculate the prime factors of 81152 and 81172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81152 and 81172.

How to find the GCF of 81152 and 81172?

We will first find the prime factorization of 81152 and 81172. After we will calculate the factors of 81152 and 81172 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 81172

Prime factors of 81172 are 2, 7, 13, 223. Prime factorization of 81172 in exponential form is:

81172 = 2² × 7¹ × 13¹ × 223¹

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 81172

List of positive integer factors of 81172 that divides 81152 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 223, 364, 446, 892, 1561, 2899, 3122, 5798, 6244, 11596, 20293, 40586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81152 and 81172. The biggest common factor number is the GCF number.
So the greatest common factor 81152 and 81172 is 4.

Also check out the Least Common Multiple of 81152 and 81172