What is the Greatest Common Factor of 49344 and 49360?

Greatest common factor (GCF) of 49344 and 49360 is 16.

GCF(49344,49360) = 16

We will now calculate the prime factors of 49344 and 49360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49344 and 49360.

How to find the GCF of 49344 and 49360?

We will first find the prime factorization of 49344 and 49360. After we will calculate the factors of 49344 and 49360 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 49360

Prime factors of 49360 are 2, 5, 617. Prime factorization of 49360 in exponential form is:

49360 = 2⁴ × 5¹ × 617¹

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 49360

List of positive integer factors of 49360 that divides 49344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 617, 1234, 2468, 3085, 4936, 6170, 9872, 12340, 24680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49344 and 49360. The biggest common factor number is the GCF number.
So the greatest common factor 49344 and 49360 is 16.

Also check out the Least Common Multiple of 49344 and 49360