What is the Greatest Common Factor of 85635 and 85646?

Greatest common factor (GCF) of 85635 and 85646 is 11.

GCF(85635,85646) = 11

We will now calculate the prime factors of 85635 and 85646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85635 and 85646.

How to find the GCF of 85635 and 85646?

We will first find the prime factorization of 85635 and 85646. After we will calculate the factors of 85635 and 85646 and find the biggest common factor number .

Step-1: Prime Factorization of 85635

Prime factors of 85635 are 3, 5, 11, 173. Prime factorization of 85635 in exponential form is:

85635 = 3² × 5¹ × 11¹ × 173¹

Step-2: Prime Factorization of 85646

Prime factors of 85646 are 2, 11, 17, 229. Prime factorization of 85646 in exponential form is:

85646 = 2¹ × 11¹ × 17¹ × 229¹

Step-3: Factors of 85635

List of positive integer factors of 85635 that divides 85635 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 173, 495, 519, 865, 1557, 1903, 2595, 5709, 7785, 9515, 17127, 28545

Step-4: Factors of 85646

List of positive integer factors of 85646 that divides 85635 without a remainder.

1, 2, 11, 17, 22, 34, 187, 229, 374, 458, 2519, 3893, 5038, 7786, 42823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85635 and 85646. The biggest common factor number is the GCF number.
So the greatest common factor 85635 and 85646 is 11.

Also check out the Least Common Multiple of 85635 and 85646