What is the Greatest Common Factor of 94608 and 94616?

Greatest common factor (GCF) of 94608 and 94616 is 8.

GCF(94608,94616) = 8

We will now calculate the prime factors of 94608 and 94616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94608 and 94616.

How to find the GCF of 94608 and 94616?

We will first find the prime factorization of 94608 and 94616. After we will calculate the factors of 94608 and 94616 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 94616

Prime factors of 94616 are 2, 11827. Prime factorization of 94616 in exponential form is:

94616 = 2³ × 11827¹

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 94616

List of positive integer factors of 94616 that divides 94608 without a remainder.

1, 2, 4, 8, 11827, 23654, 47308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94608 and 94616. The biggest common factor number is the GCF number.
So the greatest common factor 94608 and 94616 is 8.

Also check out the Least Common Multiple of 94608 and 94616