What is the Greatest Common Factor of 85580 and 85600?

Greatest common factor (GCF) of 85580 and 85600 is 20.

GCF(85580,85600) = 20

We will now calculate the prime factors of 85580 and 85600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85580 and 85600.

How to find the GCF of 85580 and 85600?

We will first find the prime factorization of 85580 and 85600. After we will calculate the factors of 85580 and 85600 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 85600

Prime factors of 85600 are 2, 5, 107. Prime factorization of 85600 in exponential form is:

85600 = 2⁵ × 5² × 107¹

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 85600

List of positive integer factors of 85600 that divides 85580 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 107, 160, 200, 214, 400, 428, 535, 800, 856, 1070, 1712, 2140, 2675, 3424, 4280, 5350, 8560, 10700, 17120, 21400, 42800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85580 and 85600. The biggest common factor number is the GCF number.
So the greatest common factor 85580 and 85600 is 20.

Also check out the Least Common Multiple of 85580 and 85600