What is the Greatest Common Factor of 56208 and 56224?

Greatest common factor (GCF) of 56208 and 56224 is 16.

GCF(56208,56224) = 16

We will now calculate the prime factors of 56208 and 56224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56208 and 56224.

How to find the GCF of 56208 and 56224?

We will first find the prime factorization of 56208 and 56224. After we will calculate the factors of 56208 and 56224 and find the biggest common factor number .

Step-1: Prime Factorization of 56208

Prime factors of 56208 are 2, 3, 1171. Prime factorization of 56208 in exponential form is:

56208 = 2⁴ × 3¹ × 1171¹

Step-2: 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-3: Factors of 56208

List of positive integer factors of 56208 that divides 56208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1171, 2342, 3513, 4684, 7026, 9368, 14052, 18736, 28104

Step-4: Factors of 56224

List of positive integer factors of 56224 that divides 56208 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56208 and 56224. The biggest common factor number is the GCF number.
So the greatest common factor 56208 and 56224 is 16.

Also check out the Least Common Multiple of 56208 and 56224