What is the Greatest Common Factor of 94224 and 94240?

Greatest common factor (GCF) of 94224 and 94240 is 16.

GCF(94224,94240) = 16

We will now calculate the prime factors of 94224 and 94240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94224 and 94240.

How to find the GCF of 94224 and 94240?

We will first find the prime factorization of 94224 and 94240. After we will calculate the factors of 94224 and 94240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94240

Prime factors of 94240 are 2, 5, 19, 31. Prime factorization of 94240 in exponential form is:

94240 = 2⁵ × 5¹ × 19¹ × 31¹

Step-3: Factors of 94224

List of positive integer factors of 94224 that divides 94224 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

Step-4: Factors of 94240

List of positive integer factors of 94240 that divides 94224 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 32, 38, 40, 62, 76, 80, 95, 124, 152, 155, 160, 190, 248, 304, 310, 380, 496, 589, 608, 620, 760, 992, 1178, 1240, 1520, 2356, 2480, 2945, 3040, 4712, 4960, 5890, 9424, 11780, 18848, 23560, 47120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94224 and 94240. The biggest common factor number is the GCF number.
So the greatest common factor 94224 and 94240 is 16.

Also check out the Least Common Multiple of 94224 and 94240