What is the Greatest Common Factor of 56580 and 56596?

Greatest common factor (GCF) of 56580 and 56596 is 4.

GCF(56580,56596) = 4

We will now calculate the prime factors of 56580 and 56596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56580 and 56596.

How to find the GCF of 56580 and 56596?

We will first find the prime factorization of 56580 and 56596. After we will calculate the factors of 56580 and 56596 and find the biggest common factor number .

Step-1: Prime Factorization of 56580

Prime factors of 56580 are 2, 3, 5, 23, 41. Prime factorization of 56580 in exponential form is:

56580 = 2² × 3¹ × 5¹ × 23¹ × 41¹

Step-2: Prime Factorization of 56596

Prime factors of 56596 are 2, 14149. Prime factorization of 56596 in exponential form is:

56596 = 2² × 14149¹

Step-3: Factors of 56580

List of positive integer factors of 56580 that divides 56580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 41, 46, 60, 69, 82, 92, 115, 123, 138, 164, 205, 230, 246, 276, 345, 410, 460, 492, 615, 690, 820, 943, 1230, 1380, 1886, 2460, 2829, 3772, 4715, 5658, 9430, 11316, 14145, 18860, 28290

Step-4: Factors of 56596

List of positive integer factors of 56596 that divides 56580 without a remainder.

1, 2, 4, 14149, 28298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56580 and 56596. The biggest common factor number is the GCF number.
So the greatest common factor 56580 and 56596 is 4.

Also check out the Least Common Multiple of 56580 and 56596