What is the Greatest Common Factor of 99856 and 99874?

Greatest common factor (GCF) of 99856 and 99874 is 2.

GCF(99856,99874) = 2

We will now calculate the prime factors of 99856 and 99874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99856 and 99874.

How to find the GCF of 99856 and 99874?

We will first find the prime factorization of 99856 and 99874. After we will calculate the factors of 99856 and 99874 and find the biggest common factor number .

Step-1: Prime Factorization of 99856

Prime factors of 99856 are 2, 79. Prime factorization of 99856 in exponential form is:

99856 = 2⁴ × 79²

Step-2: Prime Factorization of 99874

Prime factors of 99874 are 2, 49937. Prime factorization of 99874 in exponential form is:

99874 = 2¹ × 49937¹

Step-3: Factors of 99856

List of positive integer factors of 99856 that divides 99856 without a remainder.

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264, 6241, 12482, 24964, 49928

Step-4: Factors of 99874

List of positive integer factors of 99874 that divides 99856 without a remainder.

1, 2, 49937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99856 and 99874. The biggest common factor number is the GCF number.
So the greatest common factor 99856 and 99874 is 2.

Also check out the Least Common Multiple of 99856 and 99874