What is the Greatest Common Factor of 85659 and 85674?

Greatest common factor (GCF) of 85659 and 85674 is 3.

GCF(85659,85674) = 3

We will now calculate the prime factors of 85659 and 85674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85659 and 85674.

How to find the GCF of 85659 and 85674?

We will first find the prime factorization of 85659 and 85674. After we will calculate the factors of 85659 and 85674 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 85674

Prime factors of 85674 are 2, 3, 109, 131. Prime factorization of 85674 in exponential form is:

85674 = 2¹ × 3¹ × 109¹ × 131¹

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 85674

List of positive integer factors of 85674 that divides 85659 without a remainder.

1, 2, 3, 6, 109, 131, 218, 262, 327, 393, 654, 786, 14279, 28558, 42837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85659 and 85674. The biggest common factor number is the GCF number.
So the greatest common factor 85659 and 85674 is 3.

Also check out the Least Common Multiple of 85659 and 85674