What is the Greatest Common Factor of 99350 and 99360?

Greatest common factor (GCF) of 99350 and 99360 is 10.

GCF(99350,99360) = 10

We will now calculate the prime factors of 99350 and 99360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99350 and 99360.

How to find the GCF of 99350 and 99360?

We will first find the prime factorization of 99350 and 99360. After we will calculate the factors of 99350 and 99360 and find the biggest common factor number .

Step-1: Prime Factorization of 99350

Prime factors of 99350 are 2, 5, 1987. Prime factorization of 99350 in exponential form is:

99350 = 2¹ × 5² × 1987¹

Step-2: 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-3: Factors of 99350

List of positive integer factors of 99350 that divides 99350 without a remainder.

1, 2, 5, 10, 25, 50, 1987, 3974, 9935, 19870, 49675

Step-4: Factors of 99360

List of positive integer factors of 99360 that divides 99350 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99350 and 99360. The biggest common factor number is the GCF number.
So the greatest common factor 99350 and 99360 is 10.

Also check out the Least Common Multiple of 99350 and 99360