What is the Greatest Common Factor of 49328 and 49344?

Greatest common factor (GCF) of 49328 and 49344 is 16.

GCF(49328,49344) = 16

We will now calculate the prime factors of 49328 and 49344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49328 and 49344.

How to find the GCF of 49328 and 49344?

We will first find the prime factorization of 49328 and 49344. After we will calculate the factors of 49328 and 49344 and find the biggest common factor number .

Step-1: Prime Factorization of 49328

Prime factors of 49328 are 2, 3083. Prime factorization of 49328 in exponential form is:

49328 = 2⁴ × 3083¹

Step-2: 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-3: Factors of 49328

List of positive integer factors of 49328 that divides 49328 without a remainder.

1, 2, 4, 8, 16, 3083, 6166, 12332, 24664

Step-4: Factors of 49344

List of positive integer factors of 49344 that divides 49328 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49328 and 49344. The biggest common factor number is the GCF number.
So the greatest common factor 49328 and 49344 is 16.

Also check out the Least Common Multiple of 49328 and 49344