What is the Greatest Common Factor of 94211 and 94224?

Greatest common factor (GCF) of 94211 and 94224 is 13.

GCF(94211,94224) = 13

We will now calculate the prime factors of 94211 and 94224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94211 and 94224.

How to find the GCF of 94211 and 94224?

We will first find the prime factorization of 94211 and 94224. After we will calculate the factors of 94211 and 94224 and find the biggest common factor number .

Step-1: Prime Factorization of 94211

Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:

94211 = 13¹ × 7247¹

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 94211

List of positive integer factors of 94211 that divides 94211 without a remainder.

1, 13, 7247

Step-4: Factors of 94224

List of positive integer factors of 94224 that divides 94211 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 94211 and 94224. The biggest common factor number is the GCF number.
So the greatest common factor 94211 and 94224 is 13.

Also check out the Least Common Multiple of 94211 and 94224