What is the Greatest Common Factor of 63198 and 63212?

Greatest common factor (GCF) of 63198 and 63212 is 2.

GCF(63198,63212) = 2

We will now calculate the prime factors of 63198 and 63212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63198 and 63212.

How to find the GCF of 63198 and 63212?

We will first find the prime factorization of 63198 and 63212. After we will calculate the factors of 63198 and 63212 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 63212

Prime factors of 63212 are 2, 15803. Prime factorization of 63212 in exponential form is:

63212 = 2² × 15803¹

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 63212

List of positive integer factors of 63212 that divides 63198 without a remainder.

1, 2, 4, 15803, 31606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63198 and 63212. The biggest common factor number is the GCF number.
So the greatest common factor 63198 and 63212 is 2.

Also check out the Least Common Multiple of 63198 and 63212