What is the Greatest Common Factor of 56272 and 56286?

Greatest common factor (GCF) of 56272 and 56286 is 2.

GCF(56272,56286) = 2

We will now calculate the prime factors of 56272 and 56286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56272 and 56286.

How to find the GCF of 56272 and 56286?

We will first find the prime factorization of 56272 and 56286. After we will calculate the factors of 56272 and 56286 and find the biggest common factor number .

Step-1: Prime Factorization of 56272

Prime factors of 56272 are 2, 3517. Prime factorization of 56272 in exponential form is:

56272 = 2⁴ × 3517¹

Step-2: Prime Factorization of 56286

Prime factors of 56286 are 2, 3, 53, 59. Prime factorization of 56286 in exponential form is:

56286 = 2¹ × 3² × 53¹ × 59¹

Step-3: Factors of 56272

List of positive integer factors of 56272 that divides 56272 without a remainder.

1, 2, 4, 8, 16, 3517, 7034, 14068, 28136

Step-4: Factors of 56286

List of positive integer factors of 56286 that divides 56272 without a remainder.

1, 2, 3, 6, 9, 18, 53, 59, 106, 118, 159, 177, 318, 354, 477, 531, 954, 1062, 3127, 6254, 9381, 18762, 28143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56272 and 56286. The biggest common factor number is the GCF number.
So the greatest common factor 56272 and 56286 is 2.

Also check out the Least Common Multiple of 56272 and 56286