What is the Greatest Common Factor of 99952 and 99972?

Greatest common factor (GCF) of 99952 and 99972 is 4.

GCF(99952,99972) = 4

We will now calculate the prime factors of 99952 and 99972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99952 and 99972.

How to find the GCF of 99952 and 99972?

We will first find the prime factorization of 99952 and 99972. After we will calculate the factors of 99952 and 99972 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 99972

Prime factors of 99972 are 2, 3, 2777. Prime factorization of 99972 in exponential form is:

99972 = 2² × 3² × 2777¹

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 99972

List of positive integer factors of 99972 that divides 99952 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2777, 5554, 8331, 11108, 16662, 24993, 33324, 49986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99952 and 99972. The biggest common factor number is the GCF number.
So the greatest common factor 99952 and 99972 is 4.

Also check out the Least Common Multiple of 99952 and 99972