What is the Greatest Common Factor of 56580 and 56590?

Greatest common factor (GCF) of 56580 and 56590 is 10.

GCF(56580,56590) = 10

We will now calculate the prime factors of 56580 and 56590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56580 and 56590.

How to find the GCF of 56580 and 56590?

We will first find the prime factorization of 56580 and 56590. After we will calculate the factors of 56580 and 56590 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 56590

Prime factors of 56590 are 2, 5, 5659. Prime factorization of 56590 in exponential form is:

56590 = 2¹ × 5¹ × 5659¹

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 56590

List of positive integer factors of 56590 that divides 56580 without a remainder.

1, 2, 5, 10, 5659, 11318, 28295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56580 and 56590. The biggest common factor number is the GCF number.
So the greatest common factor 56580 and 56590 is 10.

Also check out the Least Common Multiple of 56580 and 56590