What is the Greatest Common Factor of 99945 and 99960?

Greatest common factor (GCF) of 99945 and 99960 is 15.

GCF(99945,99960) = 15

We will now calculate the prime factors of 99945 and 99960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99945 and 99960.

How to find the GCF of 99945 and 99960?

We will first find the prime factorization of 99945 and 99960. After we will calculate the factors of 99945 and 99960 and find the biggest common factor number .

Step-1: Prime Factorization of 99945

Prime factors of 99945 are 3, 5, 2221. Prime factorization of 99945 in exponential form is:

99945 = 3² × 5¹ × 2221¹

Step-2: 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-3: Factors of 99945

List of positive integer factors of 99945 that divides 99945 without a remainder.

1, 3, 5, 9, 15, 45, 2221, 6663, 11105, 19989, 33315

Step-4: Factors of 99960

List of positive integer factors of 99960 that divides 99945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99945 and 99960. The biggest common factor number is the GCF number.
So the greatest common factor 99945 and 99960 is 15.

Also check out the Least Common Multiple of 99945 and 99960