What is the Greatest Common Factor of 85659 and 85664?

Greatest common factor (GCF) of 85659 and 85664 is 1.

GCF(85659,85664) = 1

We will now calculate the prime factors of 85659 and 85664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85659 and 85664.

How to find the GCF of 85659 and 85664?

We will first find the prime factorization of 85659 and 85664. After we will calculate the factors of 85659 and 85664 and find the biggest common factor number .

Step-1: Prime Factorization of 85659

Prime factors of 85659 are 3, 7, 4079. Prime factorization of 85659 in exponential form is:

85659 = 3¹ × 7¹ × 4079¹

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 85659

List of positive integer factors of 85659 that divides 85659 without a remainder.

1, 3, 7, 21, 4079, 12237, 28553

Step-4: Factors of 85664

List of positive integer factors of 85664 that divides 85659 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 85659 and 85664. The biggest common factor number is the GCF number.
So the greatest common factor 85659 and 85664 is 1.

Also check out the Least Common Multiple of 85659 and 85664