What is the Greatest Common Factor of 56536 and 56540?

Greatest common factor (GCF) of 56536 and 56540 is 4.

GCF(56536,56540) = 4

We will now calculate the prime factors of 56536 and 56540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56536 and 56540.

How to find the GCF of 56536 and 56540?

We will first find the prime factorization of 56536 and 56540. After we will calculate the factors of 56536 and 56540 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 56540

Prime factors of 56540 are 2, 5, 11, 257. Prime factorization of 56540 in exponential form is:

56540 = 2² × 5¹ × 11¹ × 257¹

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 56540

List of positive integer factors of 56540 that divides 56536 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 257, 514, 1028, 1285, 2570, 2827, 5140, 5654, 11308, 14135, 28270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56536 and 56540. The biggest common factor number is the GCF number.
So the greatest common factor 56536 and 56540 is 4.

Also check out the Least Common Multiple of 56536 and 56540