What is the Greatest Common Factor of 49224 and 49238?

Greatest common factor (GCF) of 49224 and 49238 is 14.

GCF(49224,49238) = 14

We will now calculate the prime factors of 49224 and 49238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49224 and 49238.

How to find the GCF of 49224 and 49238?

We will first find the prime factorization of 49224 and 49238. After we will calculate the factors of 49224 and 49238 and find the biggest common factor number .

Step-1: Prime Factorization of 49224

Prime factors of 49224 are 2, 3, 7, 293. Prime factorization of 49224 in exponential form is:

49224 = 2³ × 3¹ × 7¹ × 293¹

Step-2: Prime Factorization of 49238

Prime factors of 49238 are 2, 7, 3517. Prime factorization of 49238 in exponential form is:

49238 = 2¹ × 7¹ × 3517¹

Step-3: Factors of 49224

List of positive integer factors of 49224 that divides 49224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 293, 586, 879, 1172, 1758, 2051, 2344, 3516, 4102, 6153, 7032, 8204, 12306, 16408, 24612

Step-4: Factors of 49238

List of positive integer factors of 49238 that divides 49224 without a remainder.

1, 2, 7, 14, 3517, 7034, 24619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49224 and 49238. The biggest common factor number is the GCF number.
So the greatest common factor 49224 and 49238 is 14.

Also check out the Least Common Multiple of 49224 and 49238