What is the Greatest Common Factor of 94689 and 94696?

Greatest common factor (GCF) of 94689 and 94696 is 7.

GCF(94689,94696) = 7

We will now calculate the prime factors of 94689 and 94696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94689 and 94696.

How to find the GCF of 94689 and 94696?

We will first find the prime factorization of 94689 and 94696. After we will calculate the factors of 94689 and 94696 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 94696

Prime factors of 94696 are 2, 7, 19, 89. Prime factorization of 94696 in exponential form is:

94696 = 2³ × 7¹ × 19¹ × 89¹

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 94696

List of positive integer factors of 94696 that divides 94689 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 89, 133, 152, 178, 266, 356, 532, 623, 712, 1064, 1246, 1691, 2492, 3382, 4984, 6764, 11837, 13528, 23674, 47348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94689 and 94696. The biggest common factor number is the GCF number.
So the greatest common factor 94689 and 94696 is 7.

Also check out the Least Common Multiple of 94689 and 94696