What is the Greatest Common Factor of 51909 and 51918?

Greatest common factor (GCF) of 51909 and 51918 is 3.

GCF(51909,51918) = 3

We will now calculate the prime factors of 51909 and 51918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51909 and 51918.

How to find the GCF of 51909 and 51918?

We will first find the prime factorization of 51909 and 51918. After we will calculate the factors of 51909 and 51918 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51918

Prime factors of 51918 are 2, 3, 17, 509. Prime factorization of 51918 in exponential form is:

51918 = 2¹ × 3¹ × 17¹ × 509¹

Step-3: Factors of 51909

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

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

Step-4: Factors of 51918

List of positive integer factors of 51918 that divides 51909 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 509, 1018, 1527, 3054, 8653, 17306, 25959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51909 and 51918. The biggest common factor number is the GCF number.
So the greatest common factor 51909 and 51918 is 3.

Also check out the Least Common Multiple of 51909 and 51918