What is the Greatest Common Factor of 51917 and 51925?

Greatest common factor (GCF) of 51917 and 51925 is 1.

GCF(51917,51925) = 1

We will now calculate the prime factors of 51917 and 51925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51917 and 51925.

How to find the GCF of 51917 and 51925?

We will first find the prime factorization of 51917 and 51925. After we will calculate the factors of 51917 and 51925 and find the biggest common factor number .

Step-1: Prime Factorization of 51917

Prime factors of 51917 are 193, 269. Prime factorization of 51917 in exponential form is:

51917 = 193¹ × 269¹

Step-2: 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-3: Factors of 51917

List of positive integer factors of 51917 that divides 51917 without a remainder.

1, 193, 269

Step-4: Factors of 51925

List of positive integer factors of 51925 that divides 51917 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51917 and 51925. The biggest common factor number is the GCF number.
So the greatest common factor 51917 and 51925 is 1.

Also check out the Least Common Multiple of 51917 and 51925