What is the Greatest Common Factor of 56287 and 56294?

Greatest common factor (GCF) of 56287 and 56294 is 7.

GCF(56287,56294) = 7

We will now calculate the prime factors of 56287 and 56294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56287 and 56294.

How to find the GCF of 56287 and 56294?

We will first find the prime factorization of 56287 and 56294. After we will calculate the factors of 56287 and 56294 and find the biggest common factor number .

Step-1: Prime Factorization of 56287

Prime factors of 56287 are 7, 11, 17, 43. Prime factorization of 56287 in exponential form is:

56287 = 7¹ × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 56294

Prime factors of 56294 are 2, 7, 4021. Prime factorization of 56294 in exponential form is:

56294 = 2¹ × 7¹ × 4021¹

Step-3: Factors of 56287

List of positive integer factors of 56287 that divides 56287 without a remainder.

1, 7, 11, 17, 43, 77, 119, 187, 301, 473, 731, 1309, 3311, 5117, 8041

Step-4: Factors of 56294

List of positive integer factors of 56294 that divides 56287 without a remainder.

1, 2, 7, 14, 4021, 8042, 28147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56287 and 56294. The biggest common factor number is the GCF number.
So the greatest common factor 56287 and 56294 is 7.

Also check out the Least Common Multiple of 56287 and 56294