What is the Greatest Common Factor of 94224 and 94237?

Greatest common factor (GCF) of 94224 and 94237 is 13.

GCF(94224,94237) = 13

We will now calculate the prime factors of 94224 and 94237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94224 and 94237.

How to find the GCF of 94224 and 94237?

We will first find the prime factorization of 94224 and 94237. After we will calculate the factors of 94224 and 94237 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 94237

Prime factors of 94237 are 11, 13, 659. Prime factorization of 94237 in exponential form is:

94237 = 11¹ × 13¹ × 659¹

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 94237

List of positive integer factors of 94237 that divides 94224 without a remainder.

1, 11, 13, 143, 659, 7249, 8567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94224 and 94237. The biggest common factor number is the GCF number.
So the greatest common factor 94224 and 94237 is 13.

Also check out the Least Common Multiple of 94224 and 94237