What is the Greatest Common Factor of 63228 and 63239?

Greatest common factor (GCF) of 63228 and 63239 is 11.

GCF(63228,63239) = 11

We will now calculate the prime factors of 63228 and 63239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63228 and 63239.

How to find the GCF of 63228 and 63239?

We will first find the prime factorization of 63228 and 63239. After we will calculate the factors of 63228 and 63239 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63239

Prime factors of 63239 are 11, 5749. Prime factorization of 63239 in exponential form is:

63239 = 11¹ × 5749¹

Step-3: Factors of 63228

List of positive integer factors of 63228 that divides 63228 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

Step-4: Factors of 63239

List of positive integer factors of 63239 that divides 63228 without a remainder.

1, 11, 5749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63228 and 63239. The biggest common factor number is the GCF number.
So the greatest common factor 63228 and 63239 is 11.

Also check out the Least Common Multiple of 63228 and 63239