What is the Greatest Common Factor of 99972 and 99984?

Greatest common factor (GCF) of 99972 and 99984 is 12.

GCF(99972,99984) = 12

We will now calculate the prime factors of 99972 and 99984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99972 and 99984.

How to find the GCF of 99972 and 99984?

We will first find the prime factorization of 99972 and 99984. After we will calculate the factors of 99972 and 99984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99984

Prime factors of 99984 are 2, 3, 2083. Prime factorization of 99984 in exponential form is:

99984 = 2⁴ × 3¹ × 2083¹

Step-3: Factors of 99972

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

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

Step-4: Factors of 99984

List of positive integer factors of 99984 that divides 99972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2083, 4166, 6249, 8332, 12498, 16664, 24996, 33328, 49992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99972 and 99984. The biggest common factor number is the GCF number.
So the greatest common factor 99972 and 99984 is 12.

Also check out the Least Common Multiple of 99972 and 99984