What is the Greatest Common Factor of 56192 and 56208?

Greatest common factor (GCF) of 56192 and 56208 is 16.

GCF(56192,56208) = 16

We will now calculate the prime factors of 56192 and 56208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56192 and 56208.

How to find the GCF of 56192 and 56208?

We will first find the prime factorization of 56192 and 56208. After we will calculate the factors of 56192 and 56208 and find the biggest common factor number .

Step-1: Prime Factorization of 56192

Prime factors of 56192 are 2, 439. Prime factorization of 56192 in exponential form is:

56192 = 2⁷ × 439¹

Step-2: 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-3: Factors of 56192

List of positive integer factors of 56192 that divides 56192 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 439, 878, 1756, 3512, 7024, 14048, 28096

Step-4: Factors of 56208

List of positive integer factors of 56208 that divides 56192 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56192 and 56208. The biggest common factor number is the GCF number.
So the greatest common factor 56192 and 56208 is 16.

Also check out the Least Common Multiple of 56192 and 56208