What is the Greatest Common Factor of 51146 and 51152?

Greatest common factor (GCF) of 51146 and 51152 is 2.

GCF(51146,51152) = 2

We will now calculate the prime factors of 51146 and 51152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51146 and 51152.

How to find the GCF of 51146 and 51152?

We will first find the prime factorization of 51146 and 51152. After we will calculate the factors of 51146 and 51152 and find the biggest common factor number .

Step-1: Prime Factorization of 51146

Prime factors of 51146 are 2, 107, 239. Prime factorization of 51146 in exponential form is:

51146 = 2¹ × 107¹ × 239¹

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 51146

List of positive integer factors of 51146 that divides 51146 without a remainder.

1, 2, 107, 214, 239, 478, 25573

Step-4: Factors of 51152

List of positive integer factors of 51152 that divides 51146 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 51146 and 51152. The biggest common factor number is the GCF number.
So the greatest common factor 51146 and 51152 is 2.

Also check out the Least Common Multiple of 51146 and 51152