What is the Greatest Common Factor of 6354 and 6372?

Greatest common factor (GCF) of 6354 and 6372 is 18.

GCF(6354,6372) = 18

We will now calculate the prime factors of 6354 and 6372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6354 and 6372.

How to find the GCF of 6354 and 6372?

We will first find the prime factorization of 6354 and 6372. After we will calculate the factors of 6354 and 6372 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 6372

Prime factors of 6372 are 2, 3, 59. Prime factorization of 6372 in exponential form is:

6372 = 2² × 3³ × 59¹

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 6372

List of positive integer factors of 6372 that divides 6354 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6354 and 6372. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6372 is 18.

Also check out the Least Common Multiple of 6354 and 6372