What is the Greatest Common Factor of 94671 and 94689?

Greatest common factor (GCF) of 94671 and 94689 is 9.

GCF(94671,94689) = 9

We will now calculate the prime factors of 94671 and 94689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94671 and 94689.

How to find the GCF of 94671 and 94689?

We will first find the prime factorization of 94671 and 94689. After we will calculate the factors of 94671 and 94689 and find the biggest common factor number .

Step-1: Prime Factorization of 94671

Prime factors of 94671 are 3, 67, 157. Prime factorization of 94671 in exponential form is:

94671 = 3² × 67¹ × 157¹

Step-2: Prime Factorization of 94689

Prime factors of 94689 are 3, 7, 167. Prime factorization of 94689 in exponential form is:

94689 = 3⁴ × 7¹ × 167¹

Step-3: Factors of 94671

List of positive integer factors of 94671 that divides 94671 without a remainder.

1, 3, 9, 67, 157, 201, 471, 603, 1413, 10519, 31557

Step-4: Factors of 94689

List of positive integer factors of 94689 that divides 94671 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 167, 189, 501, 567, 1169, 1503, 3507, 4509, 10521, 13527, 31563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94671 and 94689. The biggest common factor number is the GCF number.
So the greatest common factor 94671 and 94689 is 9.

Also check out the Least Common Multiple of 94671 and 94689