What is the Greatest Common Factor of 85580 and 85590?

Greatest common factor (GCF) of 85580 and 85590 is 10.

GCF(85580,85590) = 10

We will now calculate the prime factors of 85580 and 85590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85580 and 85590.

How to find the GCF of 85580 and 85590?

We will first find the prime factorization of 85580 and 85590. After we will calculate the factors of 85580 and 85590 and find the biggest common factor number .

Step-1: Prime Factorization of 85580

Prime factors of 85580 are 2, 5, 11, 389. Prime factorization of 85580 in exponential form is:

85580 = 2² × 5¹ × 11¹ × 389¹

Step-2: Prime Factorization of 85590

Prime factors of 85590 are 2, 3, 5, 317. Prime factorization of 85590 in exponential form is:

85590 = 2¹ × 3³ × 5¹ × 317¹

Step-3: Factors of 85580

List of positive integer factors of 85580 that divides 85580 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 389, 778, 1556, 1945, 3890, 4279, 7780, 8558, 17116, 21395, 42790

Step-4: Factors of 85590

List of positive integer factors of 85590 that divides 85580 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 317, 634, 951, 1585, 1902, 2853, 3170, 4755, 5706, 8559, 9510, 14265, 17118, 28530, 42795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85580 and 85590. The biggest common factor number is the GCF number.
So the greatest common factor 85580 and 85590 is 10.

Also check out the Least Common Multiple of 85580 and 85590