What is the Greatest Common Factor of 85659 and 85665?

Greatest common factor (GCF) of 85659 and 85665 is 3.

GCF(85659,85665) = 3

We will now calculate the prime factors of 85659 and 85665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85659 and 85665.

How to find the GCF of 85659 and 85665?

We will first find the prime factorization of 85659 and 85665. After we will calculate the factors of 85659 and 85665 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 85665

Prime factors of 85665 are 3, 5, 5711. Prime factorization of 85665 in exponential form is:

85665 = 3¹ × 5¹ × 5711¹

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 85665

List of positive integer factors of 85665 that divides 85659 without a remainder.

1, 3, 5, 15, 5711, 17133, 28555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85659 and 85665. The biggest common factor number is the GCF number.
So the greatest common factor 85659 and 85665 is 3.

Also check out the Least Common Multiple of 85659 and 85665