What is the Greatest Common Factor of 51925 and 51938?

Greatest common factor (GCF) of 51925 and 51938 is 1.

GCF(51925,51938) = 1

We will now calculate the prime factors of 51925 and 51938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51925 and 51938.

How to find the GCF of 51925 and 51938?

We will first find the prime factorization of 51925 and 51938. After we will calculate the factors of 51925 and 51938 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 51938

Prime factors of 51938 are 2, 25969. Prime factorization of 51938 in exponential form is:

51938 = 2¹ × 25969¹

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 51938

List of positive integer factors of 51938 that divides 51925 without a remainder.

1, 2, 25969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51925 and 51938. The biggest common factor number is the GCF number.
So the greatest common factor 51925 and 51938 is 1.

Also check out the Least Common Multiple of 51925 and 51938