What is the Greatest Common Factor of 63228 and 63248?

Greatest common factor (GCF) of 63228 and 63248 is 4.

GCF(63228,63248) = 4

We will now calculate the prime factors of 63228 and 63248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63228 and 63248.

How to find the GCF of 63228 and 63248?

We will first find the prime factorization of 63228 and 63248. After we will calculate the factors of 63228 and 63248 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 63248

Prime factors of 63248 are 2, 59, 67. Prime factorization of 63248 in exponential form is:

63248 = 2⁴ × 59¹ × 67¹

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 63248

List of positive integer factors of 63248 that divides 63228 without a remainder.

1, 2, 4, 8, 16, 59, 67, 118, 134, 236, 268, 472, 536, 944, 1072, 3953, 7906, 15812, 31624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63228 and 63248. The biggest common factor number is the GCF number.
So the greatest common factor 63228 and 63248 is 4.

Also check out the Least Common Multiple of 63228 and 63248