What is the Greatest Common Factor of 56548 and 56562?

Greatest common factor (GCF) of 56548 and 56562 is 2.

GCF(56548,56562) = 2

We will now calculate the prime factors of 56548 and 56562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56548 and 56562.

How to find the GCF of 56548 and 56562?

We will first find the prime factorization of 56548 and 56562. After we will calculate the factors of 56548 and 56562 and find the biggest common factor number .

Step-1: Prime Factorization of 56548

Prime factors of 56548 are 2, 67, 211. Prime factorization of 56548 in exponential form is:

56548 = 2² × 67¹ × 211¹

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 56548

List of positive integer factors of 56548 that divides 56548 without a remainder.

1, 2, 4, 67, 134, 211, 268, 422, 844, 14137, 28274

Step-4: Factors of 56562

List of positive integer factors of 56562 that divides 56548 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 56548 and 56562. The biggest common factor number is the GCF number.
So the greatest common factor 56548 and 56562 is 2.

Also check out the Least Common Multiple of 56548 and 56562