What is the Greatest Common Factor of 51898 and 51909?

Greatest common factor (GCF) of 51898 and 51909 is 11.

GCF(51898,51909) = 11

We will now calculate the prime factors of 51898 and 51909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51898 and 51909.

How to find the GCF of 51898 and 51909?

We will first find the prime factorization of 51898 and 51909. After we will calculate the factors of 51898 and 51909 and find the biggest common factor number .

Step-1: 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-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 51898

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

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

Step-4: Factors of 51909

List of positive integer factors of 51909 that divides 51898 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 51898 and 51909. The biggest common factor number is the GCF number.
So the greatest common factor 51898 and 51909 is 11.

Also check out the Least Common Multiple of 51898 and 51909