What is the Greatest Common Factor of 56536 and 56546?

Greatest common factor (GCF) of 56536 and 56546 is 2.

GCF(56536,56546) = 2

We will now calculate the prime factors of 56536 and 56546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56536 and 56546.

How to find the GCF of 56536 and 56546?

We will first find the prime factorization of 56536 and 56546. After we will calculate the factors of 56536 and 56546 and find the biggest common factor number .

Step-1: Prime Factorization of 56536

Prime factors of 56536 are 2, 37, 191. Prime factorization of 56536 in exponential form is:

56536 = 2³ × 37¹ × 191¹

Step-2: 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-3: Factors of 56536

List of positive integer factors of 56536 that divides 56536 without a remainder.

1, 2, 4, 8, 37, 74, 148, 191, 296, 382, 764, 1528, 7067, 14134, 28268

Step-4: Factors of 56546

List of positive integer factors of 56546 that divides 56536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56536 and 56546. The biggest common factor number is the GCF number.
So the greatest common factor 56536 and 56546 is 2.

Also check out the Least Common Multiple of 56536 and 56546