What is the Greatest Common Factor of 49856 and 49866?

Greatest common factor (GCF) of 49856 and 49866 is 2.

GCF(49856,49866) = 2

We will now calculate the prime factors of 49856 and 49866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49856 and 49866.

How to find the GCF of 49856 and 49866?

We will first find the prime factorization of 49856 and 49866. After we will calculate the factors of 49856 and 49866 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 49866

Prime factors of 49866 are 2, 3, 8311. Prime factorization of 49866 in exponential form is:

49866 = 2¹ × 3¹ × 8311¹

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 49866

List of positive integer factors of 49866 that divides 49856 without a remainder.

1, 2, 3, 6, 8311, 16622, 24933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49856 and 49866. The biggest common factor number is the GCF number.
So the greatest common factor 49856 and 49866 is 2.

Also check out the Least Common Multiple of 49856 and 49866