What is the Greatest Common Factor of 63214 and 63228?

Greatest common factor (GCF) of 63214 and 63228 is 2.

GCF(63214,63228) = 2

We will now calculate the prime factors of 63214 and 63228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63214 and 63228.

How to find the GCF of 63214 and 63228?

We will first find the prime factorization of 63214 and 63228. After we will calculate the factors of 63214 and 63228 and find the biggest common factor number .

Step-1: Prime Factorization of 63214

Prime factors of 63214 are 2, 31607. Prime factorization of 63214 in exponential form is:

63214 = 2¹ × 31607¹

Step-2: Prime Factorization of 63228

Prime factors of 63228 are 2, 3, 11, 479. Prime factorization of 63228 in exponential form is:

63228 = 2² × 3¹ × 11¹ × 479¹

Step-3: Factors of 63214

List of positive integer factors of 63214 that divides 63214 without a remainder.

1, 2, 31607

Step-4: Factors of 63228

List of positive integer factors of 63228 that divides 63214 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 479, 958, 1437, 1916, 2874, 5269, 5748, 10538, 15807, 21076, 31614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63214 and 63228. The biggest common factor number is the GCF number.
So the greatest common factor 63214 and 63228 is 2.

Also check out the Least Common Multiple of 63214 and 63228