What is the Greatest Common Factor of 51891 and 51909?

Greatest common factor (GCF) of 51891 and 51909 is 3.

GCF(51891,51909) = 3

We will now calculate the prime factors of 51891 and 51909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51891 and 51909.

How to find the GCF of 51891 and 51909?

We will first find the prime factorization of 51891 and 51909. After we will calculate the factors of 51891 and 51909 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 51909

Prime factors of 51909 are 3, 11, 13. Prime factorization of 51909 in exponential form is:

51909 = 3¹ × 11³ × 13¹

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 51909

List of positive integer factors of 51909 that divides 51891 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1331, 1573, 3993, 4719, 17303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51891 and 51909. The biggest common factor number is the GCF number.
So the greatest common factor 51891 and 51909 is 3.

Also check out the Least Common Multiple of 51891 and 51909