What is the Greatest Common Factor of 49856 and 49872?

Greatest common factor (GCF) of 49856 and 49872 is 16.

GCF(49856,49872) = 16

We will now calculate the prime factors of 49856 and 49872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49856 and 49872.

How to find the GCF of 49856 and 49872?

We will first find the prime factorization of 49856 and 49872. After we will calculate the factors of 49856 and 49872 and find the biggest common factor number .

Step-1: Prime Factorization of 49856

Prime factors of 49856 are 2, 19, 41. Prime factorization of 49856 in exponential form is:

49856 = 2⁶ × 19¹ × 41¹

Step-2: Prime Factorization of 49872

Prime factors of 49872 are 2, 3, 1039. Prime factorization of 49872 in exponential form is:

49872 = 2⁴ × 3¹ × 1039¹

Step-3: Factors of 49856

List of positive integer factors of 49856 that divides 49856 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 64, 76, 82, 152, 164, 304, 328, 608, 656, 779, 1216, 1312, 1558, 2624, 3116, 6232, 12464, 24928

Step-4: Factors of 49872

List of positive integer factors of 49872 that divides 49856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49856 and 49872. The biggest common factor number is the GCF number.
So the greatest common factor 49856 and 49872 is 16.

Also check out the Least Common Multiple of 49856 and 49872