What is the Greatest Common Factor of 49856 and 49864?

Greatest common factor (GCF) of 49856 and 49864 is 8.

GCF(49856,49864) = 8

We will now calculate the prime factors of 49856 and 49864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49856 and 49864.

How to find the GCF of 49856 and 49864?

We will first find the prime factorization of 49856 and 49864. After we will calculate the factors of 49856 and 49864 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 49864

Prime factors of 49864 are 2, 23, 271. Prime factorization of 49864 in exponential form is:

49864 = 2³ × 23¹ × 271¹

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 49864

List of positive integer factors of 49864 that divides 49856 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 271, 542, 1084, 2168, 6233, 12466, 24932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49856 and 49864. The biggest common factor number is the GCF number.
So the greatest common factor 49856 and 49864 is 8.

Also check out the Least Common Multiple of 49856 and 49864