What is the Greatest Common Factor of 56208 and 56223?

Greatest common factor (GCF) of 56208 and 56223 is 3.

GCF(56208,56223) = 3

We will now calculate the prime factors of 56208 and 56223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56208 and 56223.

How to find the GCF of 56208 and 56223?

We will first find the prime factorization of 56208 and 56223. After we will calculate the factors of 56208 and 56223 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 56223

Prime factors of 56223 are 3, 6247. Prime factorization of 56223 in exponential form is:

56223 = 3² × 6247¹

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 56223

List of positive integer factors of 56223 that divides 56208 without a remainder.

1, 3, 9, 6247, 18741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56208 and 56223. The biggest common factor number is the GCF number.
So the greatest common factor 56208 and 56223 is 3.

Also check out the Least Common Multiple of 56208 and 56223