What is the Greatest Common Factor of 56865 and 56882?

Greatest common factor (GCF) of 56865 and 56882 is 17.

GCF(56865,56882) = 17

We will now calculate the prime factors of 56865 and 56882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56865 and 56882.

How to find the GCF of 56865 and 56882?

We will first find the prime factorization of 56865 and 56882. After we will calculate the factors of 56865 and 56882 and find the biggest common factor number .

Step-1: Prime Factorization of 56865

Prime factors of 56865 are 3, 5, 17, 223. Prime factorization of 56865 in exponential form is:

56865 = 3¹ × 5¹ × 17¹ × 223¹

Step-2: Prime Factorization of 56882

Prime factors of 56882 are 2, 7, 17, 239. Prime factorization of 56882 in exponential form is:

56882 = 2¹ × 7¹ × 17¹ × 239¹

Step-3: Factors of 56865

List of positive integer factors of 56865 that divides 56865 without a remainder.

1, 3, 5, 15, 17, 51, 85, 223, 255, 669, 1115, 3345, 3791, 11373, 18955

Step-4: Factors of 56882

List of positive integer factors of 56882 that divides 56865 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 239, 478, 1673, 3346, 4063, 8126, 28441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56865 and 56882. The biggest common factor number is the GCF number.
So the greatest common factor 56865 and 56882 is 17.

Also check out the Least Common Multiple of 56865 and 56882