What is the Greatest Common Factor of 51891 and 51898?

Greatest common factor (GCF) of 51891 and 51898 is 7.

GCF(51891,51898) = 7

We will now calculate the prime factors of 51891 and 51898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51891 and 51898.

How to find the GCF of 51891 and 51898?

We will first find the prime factorization of 51891 and 51898. After we will calculate the factors of 51891 and 51898 and find the biggest common factor number .

Step-1: Prime Factorization of 51891

Prime factors of 51891 are 3, 7, 353. Prime factorization of 51891 in exponential form is:

51891 = 3¹ × 7² × 353¹

Step-2: Prime Factorization of 51898

Prime factors of 51898 are 2, 7, 11, 337. Prime factorization of 51898 in exponential form is:

51898 = 2¹ × 7¹ × 11¹ × 337¹

Step-3: Factors of 51891

List of positive integer factors of 51891 that divides 51891 without a remainder.

1, 3, 7, 21, 49, 147, 353, 1059, 2471, 7413, 17297

Step-4: Factors of 51898

List of positive integer factors of 51898 that divides 51891 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 337, 674, 2359, 3707, 4718, 7414, 25949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51891 and 51898. The biggest common factor number is the GCF number.
So the greatest common factor 51891 and 51898 is 7.

Also check out the Least Common Multiple of 51891 and 51898