What is the Greatest Common Factor of 99854 and 99872?

Greatest common factor (GCF) of 99854 and 99872 is 2.

GCF(99854,99872) = 2

We will now calculate the prime factors of 99854 and 99872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99854 and 99872.

How to find the GCF of 99854 and 99872?

We will first find the prime factorization of 99854 and 99872. After we will calculate the factors of 99854 and 99872 and find the biggest common factor number .

Step-1: Prime Factorization of 99854

Prime factors of 99854 are 2, 49927. Prime factorization of 99854 in exponential form is:

99854 = 2¹ × 49927¹

Step-2: Prime Factorization of 99872

Prime factors of 99872 are 2, 3121. Prime factorization of 99872 in exponential form is:

99872 = 2⁵ × 3121¹

Step-3: Factors of 99854

List of positive integer factors of 99854 that divides 99854 without a remainder.

1, 2, 49927

Step-4: Factors of 99872

List of positive integer factors of 99872 that divides 99854 without a remainder.

1, 2, 4, 8, 16, 32, 3121, 6242, 12484, 24968, 49936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99854 and 99872. The biggest common factor number is the GCF number.
So the greatest common factor 99854 and 99872 is 2.

Also check out the Least Common Multiple of 99854 and 99872