What is the Greatest Common Factor of 51134 and 51152?

Greatest common factor (GCF) of 51134 and 51152 is 2.

GCF(51134,51152) = 2

We will now calculate the prime factors of 51134 and 51152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51134 and 51152.

How to find the GCF of 51134 and 51152?

We will first find the prime factorization of 51134 and 51152. After we will calculate the factors of 51134 and 51152 and find the biggest common factor number .

Step-1: Prime Factorization of 51134

Prime factors of 51134 are 2, 37, 691. Prime factorization of 51134 in exponential form is:

51134 = 2¹ × 37¹ × 691¹

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 51134

List of positive integer factors of 51134 that divides 51134 without a remainder.

1, 2, 37, 74, 691, 1382, 25567

Step-4: Factors of 51152

List of positive integer factors of 51152 that divides 51134 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 51134 and 51152. The biggest common factor number is the GCF number.
So the greatest common factor 51134 and 51152 is 2.

Also check out the Least Common Multiple of 51134 and 51152