What is the Greatest Common Factor of 99952 and 99966?

Greatest common factor (GCF) of 99952 and 99966 is 2.

GCF(99952,99966) = 2

We will now calculate the prime factors of 99952 and 99966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99952 and 99966.

How to find the GCF of 99952 and 99966?

We will first find the prime factorization of 99952 and 99966. After we will calculate the factors of 99952 and 99966 and find the biggest common factor number .

Step-1: Prime Factorization of 99952

Prime factors of 99952 are 2, 6247. Prime factorization of 99952 in exponential form is:

99952 = 2⁴ × 6247¹

Step-2: Prime Factorization of 99966

Prime factors of 99966 are 2, 3, 16661. Prime factorization of 99966 in exponential form is:

99966 = 2¹ × 3¹ × 16661¹

Step-3: Factors of 99952

List of positive integer factors of 99952 that divides 99952 without a remainder.

1, 2, 4, 8, 16, 6247, 12494, 24988, 49976

Step-4: Factors of 99966

List of positive integer factors of 99966 that divides 99952 without a remainder.

1, 2, 3, 6, 16661, 33322, 49983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99952 and 99966. The biggest common factor number is the GCF number.
So the greatest common factor 99952 and 99966 is 2.

Also check out the Least Common Multiple of 99952 and 99966