What is the Greatest Common Factor of 99354 and 99360?

Greatest common factor (GCF) of 99354 and 99360 is 6.

GCF(99354,99360) = 6

We will now calculate the prime factors of 99354 and 99360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99354 and 99360.

How to find the GCF of 99354 and 99360?

We will first find the prime factorization of 99354 and 99360. After we will calculate the factors of 99354 and 99360 and find the biggest common factor number .

Step-1: Prime Factorization of 99354

Prime factors of 99354 are 2, 3, 29, 571. Prime factorization of 99354 in exponential form is:

99354 = 2¹ × 3¹ × 29¹ × 571¹

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 99354

List of positive integer factors of 99354 that divides 99354 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 571, 1142, 1713, 3426, 16559, 33118, 49677

Step-4: Factors of 99360

List of positive integer factors of 99360 that divides 99354 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 99354 and 99360. The biggest common factor number is the GCF number.
So the greatest common factor 99354 and 99360 is 6.

Also check out the Least Common Multiple of 99354 and 99360