What is the Greatest Common Factor of 56208 and 56221?

Greatest common factor (GCF) of 56208 and 56221 is 1.

GCF(56208,56221) = 1

We will now calculate the prime factors of 56208 and 56221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56208 and 56221.

How to find the GCF of 56208 and 56221?

We will first find the prime factorization of 56208 and 56221. After we will calculate the factors of 56208 and 56221 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 56221

Prime factors of 56221 are 11, 19, 269. Prime factorization of 56221 in exponential form is:

56221 = 11¹ × 19¹ × 269¹

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 56221

List of positive integer factors of 56221 that divides 56208 without a remainder.

1, 11, 19, 209, 269, 2959, 5111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56208 and 56221. The biggest common factor number is the GCF number.
So the greatest common factor 56208 and 56221 is 1.

Also check out the Least Common Multiple of 56208 and 56221