What is the Greatest Common Factor of 51909 and 51915?

Greatest common factor (GCF) of 51909 and 51915 is 3.

GCF(51909,51915) = 3

We will now calculate the prime factors of 51909 and 51915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51909 and 51915.

How to find the GCF of 51909 and 51915?

We will first find the prime factorization of 51909 and 51915. After we will calculate the factors of 51909 and 51915 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 51915

Prime factors of 51915 are 3, 5, 3461. Prime factorization of 51915 in exponential form is:

51915 = 3¹ × 5¹ × 3461¹

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 51915

List of positive integer factors of 51915 that divides 51909 without a remainder.

1, 3, 5, 15, 3461, 10383, 17305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51909 and 51915. The biggest common factor number is the GCF number.
So the greatest common factor 51909 and 51915 is 3.

Also check out the Least Common Multiple of 51909 and 51915