What is the Greatest Common Factor of 85569 and 85580?

Greatest common factor (GCF) of 85569 and 85580 is 11.

GCF(85569,85580) = 11

We will now calculate the prime factors of 85569 and 85580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85569 and 85580.

How to find the GCF of 85569 and 85580?

We will first find the prime factorization of 85569 and 85580. After we will calculate the factors of 85569 and 85580 and find the biggest common factor number .

Step-1: Prime Factorization of 85569

Prime factors of 85569 are 3, 11, 2593. Prime factorization of 85569 in exponential form is:

85569 = 3¹ × 11¹ × 2593¹

Step-2: 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-3: Factors of 85569

List of positive integer factors of 85569 that divides 85569 without a remainder.

1, 3, 11, 33, 2593, 7779, 28523

Step-4: Factors of 85580

List of positive integer factors of 85580 that divides 85569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85569 and 85580. The biggest common factor number is the GCF number.
So the greatest common factor 85569 and 85580 is 11.

Also check out the Least Common Multiple of 85569 and 85580