What is the Greatest Common Factor of 49224 and 49236?

Greatest common factor (GCF) of 49224 and 49236 is 12.

GCF(49224,49236) = 12

We will now calculate the prime factors of 49224 and 49236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49224 and 49236.

How to find the GCF of 49224 and 49236?

We will first find the prime factorization of 49224 and 49236. After we will calculate the factors of 49224 and 49236 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 49236

Prime factors of 49236 are 2, 3, 11, 373. Prime factorization of 49236 in exponential form is:

49236 = 2² × 3¹ × 11¹ × 373¹

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 49236

List of positive integer factors of 49236 that divides 49224 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 373, 746, 1119, 1492, 2238, 4103, 4476, 8206, 12309, 16412, 24618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49224 and 49236. The biggest common factor number is the GCF number.
So the greatest common factor 49224 and 49236 is 12.

Also check out the Least Common Multiple of 49224 and 49236