What is the Greatest Common Factor of 56536 and 56543?

Greatest common factor (GCF) of 56536 and 56543 is 1.

GCF(56536,56543) = 1

We will now calculate the prime factors of 56536 and 56543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56536 and 56543.

How to find the GCF of 56536 and 56543?

We will first find the prime factorization of 56536 and 56543. After we will calculate the factors of 56536 and 56543 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 56543

Prime factors of 56543 are 56543. Prime factorization of 56543 in exponential form is:

56543 = 56543¹

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 56543

List of positive integer factors of 56543 that divides 56536 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56536 and 56543. The biggest common factor number is the GCF number.
So the greatest common factor 56536 and 56543 is 1.

Also check out the Least Common Multiple of 56536 and 56543