What is the Greatest Common Factor of 94368 and 94372?

Greatest common factor (GCF) of 94368 and 94372 is 4.

GCF(94368,94372) = 4

We will now calculate the prime factors of 94368 and 94372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94368 and 94372.

How to find the GCF of 94368 and 94372?

We will first find the prime factorization of 94368 and 94372. After we will calculate the factors of 94368 and 94372 and find the biggest common factor number .

Step-1: Prime Factorization of 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 2⁵ × 3¹ × 983¹

Step-2: Prime Factorization of 94372

Prime factors of 94372 are 2, 23593. Prime factorization of 94372 in exponential form is:

94372 = 2² × 23593¹

Step-3: Factors of 94368

List of positive integer factors of 94368 that divides 94368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 983, 1966, 2949, 3932, 5898, 7864, 11796, 15728, 23592, 31456, 47184

Step-4: Factors of 94372

List of positive integer factors of 94372 that divides 94368 without a remainder.

1, 2, 4, 23593, 47186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94368 and 94372. The biggest common factor number is the GCF number.
So the greatest common factor 94368 and 94372 is 4.

Also check out the Least Common Multiple of 94368 and 94372