What is the Greatest Common Factor of 94689 and 94701?

Greatest common factor (GCF) of 94689 and 94701 is 3.

GCF(94689,94701) = 3

We will now calculate the prime factors of 94689 and 94701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94689 and 94701.

How to find the GCF of 94689 and 94701?

We will first find the prime factorization of 94689 and 94701. After we will calculate the factors of 94689 and 94701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94701

Prime factors of 94701 are 3, 31567. Prime factorization of 94701 in exponential form is:

94701 = 3¹ × 31567¹

Step-3: Factors of 94689

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

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

Step-4: Factors of 94701

List of positive integer factors of 94701 that divides 94689 without a remainder.

1, 3, 31567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94689 and 94701. The biggest common factor number is the GCF number.
So the greatest common factor 94689 and 94701 is 3.

Also check out the Least Common Multiple of 94689 and 94701