What is the Greatest Common Factor of 94332 and 94346?

Greatest common factor (GCF) of 94332 and 94346 is 14.

GCF(94332,94346) = 14

We will now calculate the prime factors of 94332 and 94346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94332 and 94346.

How to find the GCF of 94332 and 94346?

We will first find the prime factorization of 94332 and 94346. After we will calculate the factors of 94332 and 94346 and find the biggest common factor number .

Step-1: Prime Factorization of 94332

Prime factors of 94332 are 2, 3, 7, 1123. Prime factorization of 94332 in exponential form is:

94332 = 2² × 3¹ × 7¹ × 1123¹

Step-2: Prime Factorization of 94346

Prime factors of 94346 are 2, 7, 23, 293. Prime factorization of 94346 in exponential form is:

94346 = 2¹ × 7¹ × 23¹ × 293¹

Step-3: Factors of 94332

List of positive integer factors of 94332 that divides 94332 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1123, 2246, 3369, 4492, 6738, 7861, 13476, 15722, 23583, 31444, 47166

Step-4: Factors of 94346

List of positive integer factors of 94346 that divides 94332 without a remainder.

1, 2, 7, 14, 23, 46, 161, 293, 322, 586, 2051, 4102, 6739, 13478, 47173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94332 and 94346. The biggest common factor number is the GCF number.
So the greatest common factor 94332 and 94346 is 14.

Also check out the Least Common Multiple of 94332 and 94346