What is the Greatest Common Factor of 6348 and 6360?

Greatest common factor (GCF) of 6348 and 6360 is 12.

GCF(6348,6360) = 12

We will now calculate the prime factors of 6348 and 6360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6348 and 6360.

How to find the GCF of 6348 and 6360?

We will first find the prime factorization of 6348 and 6360. After we will calculate the factors of 6348 and 6360 and find the biggest common factor number .

Step-1: Prime Factorization of 6348

Prime factors of 6348 are 2, 3, 23. Prime factorization of 6348 in exponential form is:

6348 = 2² × 3¹ × 23²

Step-2: Prime Factorization of 6360

Prime factors of 6360 are 2, 3, 5, 53. Prime factorization of 6360 in exponential form is:

6360 = 2³ × 3¹ × 5¹ × 53¹

Step-3: Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174

Step-4: Factors of 6360

List of positive integer factors of 6360 that divides 6348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6348 and 6360. The biggest common factor number is the GCF number.
So the greatest common factor 6348 and 6360 is 12.

Also check out the Least Common Multiple of 6348 and 6360