What is the Greatest Common Factor of 49344 and 49356?

Greatest common factor (GCF) of 49344 and 49356 is 12.

GCF(49344,49356) = 12

We will now calculate the prime factors of 49344 and 49356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49344 and 49356.

How to find the GCF of 49344 and 49356?

We will first find the prime factorization of 49344 and 49356. After we will calculate the factors of 49344 and 49356 and find the biggest common factor number .

Step-1: Prime Factorization of 49344

Prime factors of 49344 are 2, 3, 257. Prime factorization of 49344 in exponential form is:

49344 = 2⁶ × 3¹ × 257¹

Step-2: Prime Factorization of 49356

Prime factors of 49356 are 2, 3, 457. Prime factorization of 49356 in exponential form is:

49356 = 2² × 3³ × 457¹

Step-3: Factors of 49344

List of positive integer factors of 49344 that divides 49344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336, 16448, 24672

Step-4: Factors of 49356

List of positive integer factors of 49356 that divides 49344 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 457, 914, 1371, 1828, 2742, 4113, 5484, 8226, 12339, 16452, 24678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49344 and 49356. The biggest common factor number is the GCF number.
So the greatest common factor 49344 and 49356 is 12.

Also check out the Least Common Multiple of 49344 and 49356