What is the Greatest Common Factor of 6354 and 6360?

Greatest common factor (GCF) of 6354 and 6360 is 6.

GCF(6354,6360) = 6

We will now calculate the prime factors of 6354 and 6360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6354 and 6360.

How to find the GCF of 6354 and 6360?

We will first find the prime factorization of 6354 and 6360. After we will calculate the factors of 6354 and 6360 and find the biggest common factor number .

Step-1: Prime Factorization of 6354

Prime factors of 6354 are 2, 3, 353. Prime factorization of 6354 in exponential form is:

6354 = 2¹ × 3² × 353¹

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 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177

Step-4: Factors of 6360

List of positive integer factors of 6360 that divides 6354 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 6354 and 6360. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6360 is 6.

Also check out the Least Common Multiple of 6354 and 6360