What is the Greatest Common Factor of 51925 and 51937?

Greatest common factor (GCF) of 51925 and 51937 is 1.

GCF(51925,51937) = 1

We will now calculate the prime factors of 51925 and 51937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51925 and 51937.

How to find the GCF of 51925 and 51937?

We will first find the prime factorization of 51925 and 51937. After we will calculate the factors of 51925 and 51937 and find the biggest common factor number .

Step-1: Prime Factorization of 51925

Prime factors of 51925 are 5, 31, 67. Prime factorization of 51925 in exponential form is:

51925 = 5² × 31¹ × 67¹

Step-2: Prime Factorization of 51937

Prime factors of 51937 are 167, 311. Prime factorization of 51937 in exponential form is:

51937 = 167¹ × 311¹

Step-3: Factors of 51925

List of positive integer factors of 51925 that divides 51925 without a remainder.

1, 5, 25, 31, 67, 155, 335, 775, 1675, 2077, 10385

Step-4: Factors of 51937

List of positive integer factors of 51937 that divides 51925 without a remainder.

1, 167, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51925 and 51937. The biggest common factor number is the GCF number.
So the greatest common factor 51925 and 51937 is 1.

Also check out the Least Common Multiple of 51925 and 51937