What is the Greatest Common Factor of 94332 and 94342?

Greatest common factor (GCF) of 94332 and 94342 is 2.

GCF(94332,94342) = 2

We will now calculate the prime factors of 94332 and 94342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94332 and 94342.

How to find the GCF of 94332 and 94342?

We will first find the prime factorization of 94332 and 94342. After we will calculate the factors of 94332 and 94342 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 94342

Prime factors of 94342 are 2, 43, 1097. Prime factorization of 94342 in exponential form is:

94342 = 2¹ × 43¹ × 1097¹

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 94342

List of positive integer factors of 94342 that divides 94332 without a remainder.

1, 2, 43, 86, 1097, 2194, 47171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94332 and 94342. The biggest common factor number is the GCF number.
So the greatest common factor 94332 and 94342 is 2.

Also check out the Least Common Multiple of 94332 and 94342