What is the Greatest Common Factor of 94608 and 94624?

Greatest common factor (GCF) of 94608 and 94624 is 16.

GCF(94608,94624) = 16

We will now calculate the prime factors of 94608 and 94624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94608 and 94624.

How to find the GCF of 94608 and 94624?

We will first find the prime factorization of 94608 and 94624. After we will calculate the factors of 94608 and 94624 and find the biggest common factor number .

Step-1: Prime Factorization of 94608

Prime factors of 94608 are 2, 3, 73. Prime factorization of 94608 in exponential form is:

94608 = 2⁴ × 3⁴ × 73¹

Step-2: Prime Factorization of 94624

Prime factors of 94624 are 2, 2957. Prime factorization of 94624 in exponential form is:

94624 = 2⁵ × 2957¹

Step-3: Factors of 94608

List of positive integer factors of 94608 that divides 94608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 73, 81, 108, 144, 146, 162, 216, 219, 292, 324, 432, 438, 584, 648, 657, 876, 1168, 1296, 1314, 1752, 1971, 2628, 3504, 3942, 5256, 5913, 7884, 10512, 11826, 15768, 23652, 31536, 47304

Step-4: Factors of 94624

List of positive integer factors of 94624 that divides 94608 without a remainder.

1, 2, 4, 8, 16, 32, 2957, 5914, 11828, 23656, 47312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94608 and 94624. The biggest common factor number is the GCF number.
So the greatest common factor 94608 and 94624 is 16.

Also check out the Least Common Multiple of 94608 and 94624