What is the Greatest Common Factor of 85659 and 85673?

Greatest common factor (GCF) of 85659 and 85673 is 7.

GCF(85659,85673) = 7

We will now calculate the prime factors of 85659 and 85673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85659 and 85673.

How to find the GCF of 85659 and 85673?

We will first find the prime factorization of 85659 and 85673. After we will calculate the factors of 85659 and 85673 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 85673

Prime factors of 85673 are 7, 12239. Prime factorization of 85673 in exponential form is:

85673 = 7¹ × 12239¹

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 85673

List of positive integer factors of 85673 that divides 85659 without a remainder.

1, 7, 12239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85659 and 85673. The biggest common factor number is the GCF number.
So the greatest common factor 85659 and 85673 is 7.

Also check out the Least Common Multiple of 85659 and 85673