What is the Greatest Common Factor of 51152 and 51167?

Greatest common factor (GCF) of 51152 and 51167 is 1.

GCF(51152,51167) = 1

We will now calculate the prime factors of 51152 and 51167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51152 and 51167.

How to find the GCF of 51152 and 51167?

We will first find the prime factorization of 51152 and 51167. After we will calculate the factors of 51152 and 51167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51167

Prime factors of 51167 are 19, 2693. Prime factorization of 51167 in exponential form is:

51167 = 19¹ × 2693¹

Step-3: Factors of 51152

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

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

Step-4: Factors of 51167

List of positive integer factors of 51167 that divides 51152 without a remainder.

1, 19, 2693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51152 and 51167. The biggest common factor number is the GCF number.
So the greatest common factor 51152 and 51167 is 1.

Also check out the Least Common Multiple of 51152 and 51167