What is the Greatest Common Factor of 85646 and 85664?

Greatest common factor (GCF) of 85646 and 85664 is 2.

GCF(85646,85664) = 2

We will now calculate the prime factors of 85646 and 85664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85646 and 85664.

How to find the GCF of 85646 and 85664?

We will first find the prime factorization of 85646 and 85664. After we will calculate the factors of 85646 and 85664 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 85664

Prime factors of 85664 are 2, 2677. Prime factorization of 85664 in exponential form is:

85664 = 2⁵ × 2677¹

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 85664

List of positive integer factors of 85664 that divides 85646 without a remainder.

1, 2, 4, 8, 16, 32, 2677, 5354, 10708, 21416, 42832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85646 and 85664. The biggest common factor number is the GCF number.
So the greatest common factor 85646 and 85664 is 2.

Also check out the Least Common Multiple of 85646 and 85664