What is the Greatest Common Factor of 51315 and 51330?

Greatest common factor (GCF) of 51315 and 51330 is 15.

GCF(51315,51330) = 15

We will now calculate the prime factors of 51315 and 51330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51315 and 51330.

How to find the GCF of 51315 and 51330?

We will first find the prime factorization of 51315 and 51330. After we will calculate the factors of 51315 and 51330 and find the biggest common factor number .

Step-1: Prime Factorization of 51315

Prime factors of 51315 are 3, 5, 11, 311. Prime factorization of 51315 in exponential form is:

51315 = 3¹ × 5¹ × 11¹ × 311¹

Step-2: Prime Factorization of 51330

Prime factors of 51330 are 2, 3, 5, 29, 59. Prime factorization of 51330 in exponential form is:

51330 = 2¹ × 3¹ × 5¹ × 29¹ × 59¹

Step-3: Factors of 51315

List of positive integer factors of 51315 that divides 51315 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 311, 933, 1555, 3421, 4665, 10263, 17105

Step-4: Factors of 51330

List of positive integer factors of 51330 that divides 51315 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 59, 87, 118, 145, 174, 177, 290, 295, 354, 435, 590, 870, 885, 1711, 1770, 3422, 5133, 8555, 10266, 17110, 25665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51315 and 51330. The biggest common factor number is the GCF number.
So the greatest common factor 51315 and 51330 is 15.

Also check out the Least Common Multiple of 51315 and 51330