What is the Greatest Common Factor of 99360 and 99377?

Greatest common factor (GCF) of 99360 and 99377 is 1.

GCF(99360,99377) = 1

We will now calculate the prime factors of 99360 and 99377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99360 and 99377.

How to find the GCF of 99360 and 99377?

We will first find the prime factorization of 99360 and 99377. After we will calculate the factors of 99360 and 99377 and find the biggest common factor number .

Step-1: Prime Factorization of 99360

Prime factors of 99360 are 2, 3, 5, 23. Prime factorization of 99360 in exponential form is:

99360 = 2⁵ × 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 99377

Prime factors of 99377 are 99377. Prime factorization of 99377 in exponential form is:

99377 = 99377¹

Step-3: Factors of 99360

List of positive integer factors of 99360 that divides 99360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 32, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 96, 108, 115, 120, 135, 138, 144, 160, 180, 184, 207, 216, 230, 240, 270, 276, 288, 345, 360, 368, 414, 432, 460, 480, 540, 552, 621, 690, 720, 736, 828, 864, 920, 1035, 1080, 1104, 1242, 1380, 1440, 1656, 1840, 2070, 2160, 2208, 2484, 2760, 3105, 3312, 3680, 4140, 4320, 4968, 5520, 6210, 6624, 8280, 9936, 11040, 12420, 16560, 19872, 24840, 33120, 49680

Step-4: Factors of 99377

List of positive integer factors of 99377 that divides 99360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99360 and 99377. The biggest common factor number is the GCF number.
So the greatest common factor 99360 and 99377 is 1.

Also check out the Least Common Multiple of 99360 and 99377