What is the Greatest Common Factor of 56546 and 56562?

Greatest common factor (GCF) of 56546 and 56562 is 2.

GCF(56546,56562) = 2

We will now calculate the prime factors of 56546 and 56562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56546 and 56562.

How to find the GCF of 56546 and 56562?

We will first find the prime factorization of 56546 and 56562. After we will calculate the factors of 56546 and 56562 and find the biggest common factor number .

Step-1: Prime Factorization of 56546

Prime factors of 56546 are 2, 7, 577. Prime factorization of 56546 in exponential form is:

56546 = 2¹ × 7² × 577¹

Step-2: Prime Factorization of 56562

Prime factors of 56562 are 2, 3, 11, 857. Prime factorization of 56562 in exponential form is:

56562 = 2¹ × 3¹ × 11¹ × 857¹

Step-3: Factors of 56546

List of positive integer factors of 56546 that divides 56546 without a remainder.

1, 2, 7, 14, 49, 98, 577, 1154, 4039, 8078, 28273

Step-4: Factors of 56562

List of positive integer factors of 56562 that divides 56546 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 857, 1714, 2571, 5142, 9427, 18854, 28281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56546 and 56562. The biggest common factor number is the GCF number.
So the greatest common factor 56546 and 56562 is 2.

Also check out the Least Common Multiple of 56546 and 56562