What is the Greatest Common Factor of 51132 and 51152?

Greatest common factor (GCF) of 51132 and 51152 is 4.

GCF(51132,51152) = 4

We will now calculate the prime factors of 51132 and 51152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51132 and 51152.

How to find the GCF of 51132 and 51152?

We will first find the prime factorization of 51132 and 51152. After we will calculate the factors of 51132 and 51152 and find the biggest common factor number .

Step-1: Prime Factorization of 51132

Prime factors of 51132 are 2, 3, 4261. Prime factorization of 51132 in exponential form is:

51132 = 2² × 3¹ × 4261¹

Step-2: Prime Factorization of 51152

Prime factors of 51152 are 2, 23, 139. Prime factorization of 51152 in exponential form is:

51152 = 2⁴ × 23¹ × 139¹

Step-3: Factors of 51132

List of positive integer factors of 51132 that divides 51132 without a remainder.

1, 2, 3, 4, 6, 12, 4261, 8522, 12783, 17044, 25566

Step-4: Factors of 51152

List of positive integer factors of 51152 that divides 51132 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 139, 184, 278, 368, 556, 1112, 2224, 3197, 6394, 12788, 25576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51132 and 51152. The biggest common factor number is the GCF number.
So the greatest common factor 51132 and 51152 is 4.

Also check out the Least Common Multiple of 51132 and 51152