What is the Greatest Common Factor of 99105 and 99120?

Greatest common factor (GCF) of 99105 and 99120 is 15.

GCF(99105,99120) = 15

We will now calculate the prime factors of 99105 and 99120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99105 and 99120.

How to find the GCF of 99105 and 99120?

We will first find the prime factorization of 99105 and 99120. After we will calculate the factors of 99105 and 99120 and find the biggest common factor number .

Step-1: Prime Factorization of 99105

Prime factors of 99105 are 3, 5, 6607. Prime factorization of 99105 in exponential form is:

99105 = 3¹ × 5¹ × 6607¹

Step-2: Prime Factorization of 99120

Prime factors of 99120 are 2, 3, 5, 7, 59. Prime factorization of 99120 in exponential form is:

99120 = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 99105

List of positive integer factors of 99105 that divides 99105 without a remainder.

1, 3, 5, 15, 6607, 19821, 33035

Step-4: Factors of 99120

List of positive integer factors of 99120 that divides 99105 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 59, 60, 70, 80, 84, 105, 112, 118, 120, 140, 168, 177, 210, 236, 240, 280, 295, 336, 354, 413, 420, 472, 560, 590, 708, 826, 840, 885, 944, 1180, 1239, 1416, 1652, 1680, 1770, 2065, 2360, 2478, 2832, 3304, 3540, 4130, 4720, 4956, 6195, 6608, 7080, 8260, 9912, 12390, 14160, 16520, 19824, 24780, 33040, 49560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99105 and 99120. The biggest common factor number is the GCF number.
So the greatest common factor 99105 and 99120 is 15.

Also check out the Least Common Multiple of 99105 and 99120