What is the Greatest Common Factor of 85646 and 85660?

Greatest common factor (GCF) of 85646 and 85660 is 2.

GCF(85646,85660) = 2

We will now calculate the prime factors of 85646 and 85660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85646 and 85660.

How to find the GCF of 85646 and 85660?

We will first find the prime factorization of 85646 and 85660. After we will calculate the factors of 85646 and 85660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85660

Prime factors of 85660 are 2, 5, 4283. Prime factorization of 85660 in exponential form is:

85660 = 2² × 5¹ × 4283¹

Step-3: Factors of 85646

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

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

Step-4: Factors of 85660

List of positive integer factors of 85660 that divides 85646 without a remainder.

1, 2, 4, 5, 10, 20, 4283, 8566, 17132, 21415, 42830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85646 and 85660. The biggest common factor number is the GCF number.
So the greatest common factor 85646 and 85660 is 2.

Also check out the Least Common Multiple of 85646 and 85660