What is the Greatest Common Factor of 49404 and 49416?

Greatest common factor (GCF) of 49404 and 49416 is 12.

GCF(49404,49416) = 12

We will now calculate the prime factors of 49404 and 49416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49404 and 49416.

How to find the GCF of 49404 and 49416?

We will first find the prime factorization of 49404 and 49416. After we will calculate the factors of 49404 and 49416 and find the biggest common factor number .

Step-1: Prime Factorization of 49404

Prime factors of 49404 are 2, 3, 23, 179. Prime factorization of 49404 in exponential form is:

49404 = 2² × 3¹ × 23¹ × 179¹

Step-2: Prime Factorization of 49416

Prime factors of 49416 are 2, 3, 29, 71. Prime factorization of 49416 in exponential form is:

49416 = 2³ × 3¹ × 29¹ × 71¹

Step-3: Factors of 49404

List of positive integer factors of 49404 that divides 49404 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 179, 276, 358, 537, 716, 1074, 2148, 4117, 8234, 12351, 16468, 24702

Step-4: Factors of 49416

List of positive integer factors of 49416 that divides 49404 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 71, 87, 116, 142, 174, 213, 232, 284, 348, 426, 568, 696, 852, 1704, 2059, 4118, 6177, 8236, 12354, 16472, 24708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49404 and 49416. The biggest common factor number is the GCF number.
So the greatest common factor 49404 and 49416 is 12.

Also check out the Least Common Multiple of 49404 and 49416