What is the Greatest Common Factor of 99960 and 99972?

Greatest common factor (GCF) of 99960 and 99972 is 12.

GCF(99960,99972) = 12

We will now calculate the prime factors of 99960 and 99972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99960 and 99972.

How to find the GCF of 99960 and 99972?

We will first find the prime factorization of 99960 and 99972. After we will calculate the factors of 99960 and 99972 and find the biggest common factor number .

Step-1: Prime Factorization of 99960

Prime factors of 99960 are 2, 3, 5, 7, 17. Prime factorization of 99960 in exponential form is:

99960 = 2³ × 3¹ × 5¹ × 7² × 17¹

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 99960

List of positive integer factors of 99960 that divides 99960 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 49, 51, 56, 60, 68, 70, 84, 85, 98, 102, 105, 119, 120, 136, 140, 147, 168, 170, 196, 204, 210, 238, 245, 255, 280, 294, 340, 357, 392, 408, 420, 476, 490, 510, 588, 595, 680, 714, 735, 833, 840, 952, 980, 1020, 1176, 1190, 1428, 1470, 1666, 1785, 1960, 2040, 2380, 2499, 2856, 2940, 3332, 3570, 4165, 4760, 4998, 5880, 6664, 7140, 8330, 9996, 12495, 14280, 16660, 19992, 24990, 33320, 49980

Step-4: Factors of 99972

List of positive integer factors of 99972 that divides 99960 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 99960 and 99972. The biggest common factor number is the GCF number.
So the greatest common factor 99960 and 99972 is 12.

Also check out the Least Common Multiple of 99960 and 99972