What is the Greatest Common Factor of 94592 and 94608?

Greatest common factor (GCF) of 94592 and 94608 is 16.

GCF(94592,94608) = 16

We will now calculate the prime factors of 94592 and 94608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94592 and 94608.

How to find the GCF of 94592 and 94608?

We will first find the prime factorization of 94592 and 94608. After we will calculate the factors of 94592 and 94608 and find the biggest common factor number .

Step-1: Prime Factorization of 94592

Prime factors of 94592 are 2, 739. Prime factorization of 94592 in exponential form is:

94592 = 2⁷ × 739¹

Step-2: 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-3: Factors of 94592

List of positive integer factors of 94592 that divides 94592 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 739, 1478, 2956, 5912, 11824, 23648, 47296

Step-4: Factors of 94608

List of positive integer factors of 94608 that divides 94592 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94592 and 94608. The biggest common factor number is the GCF number.
So the greatest common factor 94592 and 94608 is 16.

Also check out the Least Common Multiple of 94592 and 94608