What is the Greatest Common Factor of 81132 and 81152?

Greatest common factor (GCF) of 81132 and 81152 is 4.

GCF(81132,81152) = 4

We will now calculate the prime factors of 81132 and 81152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81132 and 81152.

How to find the GCF of 81132 and 81152?

We will first find the prime factorization of 81132 and 81152. After we will calculate the factors of 81132 and 81152 and find the biggest common factor number .

Step-1: Prime Factorization of 81132

Prime factors of 81132 are 2, 3, 6761. Prime factorization of 81132 in exponential form is:

81132 = 2² × 3¹ × 6761¹

Step-2: Prime Factorization of 81152

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

81152 = 2⁸ × 317¹

Step-3: Factors of 81132

List of positive integer factors of 81132 that divides 81132 without a remainder.

1, 2, 3, 4, 6, 12, 6761, 13522, 20283, 27044, 40566

Step-4: Factors of 81152

List of positive integer factors of 81152 that divides 81132 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81132 and 81152. The biggest common factor number is the GCF number.
So the greatest common factor 81132 and 81152 is 4.

Also check out the Least Common Multiple of 81132 and 81152