What is the Greatest Common Factor of 51148 and 51167?

Greatest common factor (GCF) of 51148 and 51167 is 19.

GCF(51148,51167) = 19

We will now calculate the prime factors of 51148 and 51167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51148 and 51167.

How to find the GCF of 51148 and 51167?

We will first find the prime factorization of 51148 and 51167. After we will calculate the factors of 51148 and 51167 and find the biggest common factor number .

Step-1: Prime Factorization of 51148

Prime factors of 51148 are 2, 19, 673. Prime factorization of 51148 in exponential form is:

51148 = 2² × 19¹ × 673¹

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 51148

List of positive integer factors of 51148 that divides 51148 without a remainder.

1, 2, 4, 19, 38, 76, 673, 1346, 2692, 12787, 25574

Step-4: Factors of 51167

List of positive integer factors of 51167 that divides 51148 without a remainder.

1, 19, 2693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51148 and 51167. The biggest common factor number is the GCF number.
So the greatest common factor 51148 and 51167 is 19.

Also check out the Least Common Multiple of 51148 and 51167