What is the Greatest Common Factor of 94224 and 94242?

Greatest common factor (GCF) of 94224 and 94242 is 6.

GCF(94224,94242) = 6

We will now calculate the prime factors of 94224 and 94242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94224 and 94242.

How to find the GCF of 94224 and 94242?

We will first find the prime factorization of 94224 and 94242. After we will calculate the factors of 94224 and 94242 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 94242

Prime factors of 94242 are 2, 3, 113, 139. Prime factorization of 94242 in exponential form is:

94242 = 2¹ × 3¹ × 113¹ × 139¹

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 94242

List of positive integer factors of 94242 that divides 94224 without a remainder.

1, 2, 3, 6, 113, 139, 226, 278, 339, 417, 678, 834, 15707, 31414, 47121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94224 and 94242. The biggest common factor number is the GCF number.
So the greatest common factor 94224 and 94242 is 6.

Also check out the Least Common Multiple of 94224 and 94242