What is the Greatest Common Factor of 51615 and 51630?

Greatest common factor (GCF) of 51615 and 51630 is 15.

GCF(51615,51630) = 15

We will now calculate the prime factors of 51615 and 51630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51615 and 51630.

How to find the GCF of 51615 and 51630?

We will first find the prime factorization of 51615 and 51630. After we will calculate the factors of 51615 and 51630 and find the biggest common factor number .

Step-1: Prime Factorization of 51615

Prime factors of 51615 are 3, 5, 31, 37. Prime factorization of 51615 in exponential form is:

51615 = 3² × 5¹ × 31¹ × 37¹

Step-2: Prime Factorization of 51630

Prime factors of 51630 are 2, 3, 5, 1721. Prime factorization of 51630 in exponential form is:

51630 = 2¹ × 3¹ × 5¹ × 1721¹

Step-3: Factors of 51615

List of positive integer factors of 51615 that divides 51615 without a remainder.

1, 3, 5, 9, 15, 31, 37, 45, 93, 111, 155, 185, 279, 333, 465, 555, 1147, 1395, 1665, 3441, 5735, 10323, 17205

Step-4: Factors of 51630

List of positive integer factors of 51630 that divides 51615 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1721, 3442, 5163, 8605, 10326, 17210, 25815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51615 and 51630. The biggest common factor number is the GCF number.
So the greatest common factor 51615 and 51630 is 15.

Also check out the Least Common Multiple of 51615 and 51630