What is the Greatest Common Factor of 63198 and 63216?

Greatest common factor (GCF) of 63198 and 63216 is 18.

GCF(63198,63216) = 18

We will now calculate the prime factors of 63198 and 63216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63198 and 63216.

How to find the GCF of 63198 and 63216?

We will first find the prime factorization of 63198 and 63216. After we will calculate the factors of 63198 and 63216 and find the biggest common factor number .

Step-1: Prime Factorization of 63198

Prime factors of 63198 are 2, 3, 3511. Prime factorization of 63198 in exponential form is:

63198 = 2¹ × 3² × 3511¹

Step-2: Prime Factorization of 63216

Prime factors of 63216 are 2, 3, 439. Prime factorization of 63216 in exponential form is:

63216 = 2⁴ × 3² × 439¹

Step-3: Factors of 63198

List of positive integer factors of 63198 that divides 63198 without a remainder.

1, 2, 3, 6, 9, 18, 3511, 7022, 10533, 21066, 31599

Step-4: Factors of 63216

List of positive integer factors of 63216 that divides 63198 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 439, 878, 1317, 1756, 2634, 3512, 3951, 5268, 7024, 7902, 10536, 15804, 21072, 31608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63198 and 63216. The biggest common factor number is the GCF number.
So the greatest common factor 63198 and 63216 is 18.

Also check out the Least Common Multiple of 63198 and 63216