What is the Greatest Common Factor of 94314 and 94332?

Greatest common factor (GCF) of 94314 and 94332 is 6.

GCF(94314,94332) = 6

We will now calculate the prime factors of 94314 and 94332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94314 and 94332.

How to find the GCF of 94314 and 94332?

We will first find the prime factorization of 94314 and 94332. After we will calculate the factors of 94314 and 94332 and find the biggest common factor number .

Step-1: Prime Factorization of 94314

Prime factors of 94314 are 2, 3, 11, 1429. Prime factorization of 94314 in exponential form is:

94314 = 2¹ × 3¹ × 11¹ × 1429¹

Step-2: 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-3: Factors of 94314

List of positive integer factors of 94314 that divides 94314 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1429, 2858, 4287, 8574, 15719, 31438, 47157

Step-4: Factors of 94332

List of positive integer factors of 94332 that divides 94314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94314 and 94332. The biggest common factor number is the GCF number.
So the greatest common factor 94314 and 94332 is 6.

Also check out the Least Common Multiple of 94314 and 94332