What is the Greatest Common Factor of 49344 and 49352?

Greatest common factor (GCF) of 49344 and 49352 is 8.

GCF(49344,49352) = 8

We will now calculate the prime factors of 49344 and 49352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49344 and 49352.

How to find the GCF of 49344 and 49352?

We will first find the prime factorization of 49344 and 49352. After we will calculate the factors of 49344 and 49352 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 49352

Prime factors of 49352 are 2, 31, 199. Prime factorization of 49352 in exponential form is:

49352 = 2³ × 31¹ × 199¹

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 49352

List of positive integer factors of 49352 that divides 49344 without a remainder.

1, 2, 4, 8, 31, 62, 124, 199, 248, 398, 796, 1592, 6169, 12338, 24676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49344 and 49352. The biggest common factor number is the GCF number.
So the greatest common factor 49344 and 49352 is 8.

Also check out the Least Common Multiple of 49344 and 49352