What is the Greatest Common Factor of 6351 and 6360?

Greatest common factor (GCF) of 6351 and 6360 is 3.

GCF(6351,6360) = 3

We will now calculate the prime factors of 6351 and 6360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6351 and 6360.

How to find the GCF of 6351 and 6360?

We will first find the prime factorization of 6351 and 6360. After we will calculate the factors of 6351 and 6360 and find the biggest common factor number .

Step-1: Prime Factorization of 6351

Prime factors of 6351 are 3, 29, 73. Prime factorization of 6351 in exponential form is:

6351 = 3¹ × 29¹ × 73¹

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 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1, 3, 29, 73, 87, 219, 2117

Step-4: Factors of 6360

List of positive integer factors of 6360 that divides 6351 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 6351 and 6360. The biggest common factor number is the GCF number.
So the greatest common factor 6351 and 6360 is 3.

Also check out the Least Common Multiple of 6351 and 6360