What is the Greatest Common Factor of 94224 and 94239?

Greatest common factor (GCF) of 94224 and 94239 is 3.

GCF(94224,94239) = 3

We will now calculate the prime factors of 94224 and 94239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94224 and 94239.

How to find the GCF of 94224 and 94239?

We will first find the prime factorization of 94224 and 94239. After we will calculate the factors of 94224 and 94239 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 94239

Prime factors of 94239 are 3, 37, 283. Prime factorization of 94239 in exponential form is:

94239 = 3² × 37¹ × 283¹

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 94239

List of positive integer factors of 94239 that divides 94224 without a remainder.

1, 3, 9, 37, 111, 283, 333, 849, 2547, 10471, 31413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94224 and 94239. The biggest common factor number is the GCF number.
So the greatest common factor 94224 and 94239 is 3.

Also check out the Least Common Multiple of 94224 and 94239