What is the Greatest Common Factor of 94208 and 94224?

Greatest common factor (GCF) of 94208 and 94224 is 16.

GCF(94208,94224) = 16

We will now calculate the prime factors of 94208 and 94224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94208 and 94224.

How to find the GCF of 94208 and 94224?

We will first find the prime factorization of 94208 and 94224. After we will calculate the factors of 94208 and 94224 and find the biggest common factor number .

Step-1: Prime Factorization of 94208

Prime factors of 94208 are 2, 23. Prime factorization of 94208 in exponential form is:

94208 = 2¹² × 23¹

Step-2: Prime Factorization of 94224

Prime factors of 94224 are 2, 3, 13, 151. Prime factorization of 94224 in exponential form is:

94224 = 2⁴ × 3¹ × 13¹ × 151¹

Step-3: Factors of 94208

List of positive integer factors of 94208 that divides 94208 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2048, 2944, 4096, 5888, 11776, 23552, 47104

Step-4: Factors of 94224

List of positive integer factors of 94224 that divides 94208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 151, 156, 208, 302, 312, 453, 604, 624, 906, 1208, 1812, 1963, 2416, 3624, 3926, 5889, 7248, 7852, 11778, 15704, 23556, 31408, 47112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94208 and 94224. The biggest common factor number is the GCF number.
So the greatest common factor 94208 and 94224 is 16.

Also check out the Least Common Multiple of 94208 and 94224