What is the Greatest Common Factor of 56224 and 56228?

Greatest common factor (GCF) of 56224 and 56228 is 4.

GCF(56224,56228) = 4

We will now calculate the prime factors of 56224 and 56228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56224 and 56228.

How to find the GCF of 56224 and 56228?

We will first find the prime factorization of 56224 and 56228. After we will calculate the factors of 56224 and 56228 and find the biggest common factor number .

Step-1: Prime Factorization of 56224

Prime factors of 56224 are 2, 7, 251. Prime factorization of 56224 in exponential form is:

56224 = 2⁵ × 7¹ × 251¹

Step-2: Prime Factorization of 56228

Prime factors of 56228 are 2, 14057. Prime factorization of 56228 in exponential form is:

56228 = 2² × 14057¹

Step-3: Factors of 56224

List of positive integer factors of 56224 that divides 56224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 8032, 14056, 28112

Step-4: Factors of 56228

List of positive integer factors of 56228 that divides 56224 without a remainder.

1, 2, 4, 14057, 28114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56224 and 56228. The biggest common factor number is the GCF number.
So the greatest common factor 56224 and 56228 is 4.

Also check out the Least Common Multiple of 56224 and 56228