What is the Greatest Common Factor of 94689 and 94695?

Greatest common factor (GCF) of 94689 and 94695 is 3.

GCF(94689,94695) = 3

We will now calculate the prime factors of 94689 and 94695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94689 and 94695.

How to find the GCF of 94689 and 94695?

We will first find the prime factorization of 94689 and 94695. After we will calculate the factors of 94689 and 94695 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 94695

Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:

94695 = 3¹ × 5¹ × 59¹ × 107¹

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 94695

List of positive integer factors of 94695 that divides 94689 without a remainder.

1, 3, 5, 15, 59, 107, 177, 295, 321, 535, 885, 1605, 6313, 18939, 31565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94689 and 94695. The biggest common factor number is the GCF number.
So the greatest common factor 94689 and 94695 is 3.

Also check out the Least Common Multiple of 94689 and 94695