What is the Greatest Common Factor of 82080 and 82099?

Greatest common factor (GCF) of 82080 and 82099 is 19.

GCF(82080,82099) = 19

We will now calculate the prime factors of 82080 and 82099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82080 and 82099.

How to find the GCF of 82080 and 82099?

We will first find the prime factorization of 82080 and 82099. After we will calculate the factors of 82080 and 82099 and find the biggest common factor number .

Step-1: Prime Factorization of 82080

Prime factors of 82080 are 2, 3, 5, 19. Prime factorization of 82080 in exponential form is:

82080 = 2⁵ × 3³ × 5¹ × 19¹

Step-2: Prime Factorization of 82099

Prime factors of 82099 are 19, 29, 149. Prime factorization of 82099 in exponential form is:

82099 = 19¹ × 29¹ × 149¹

Step-3: Factors of 82080

List of positive integer factors of 82080 that divides 82080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 32, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 96, 108, 114, 120, 135, 144, 152, 160, 171, 180, 190, 216, 228, 240, 270, 285, 288, 304, 342, 360, 380, 432, 456, 480, 513, 540, 570, 608, 684, 720, 760, 855, 864, 912, 1026, 1080, 1140, 1368, 1440, 1520, 1710, 1824, 2052, 2160, 2280, 2565, 2736, 3040, 3420, 4104, 4320, 4560, 5130, 5472, 6840, 8208, 9120, 10260, 13680, 16416, 20520, 27360, 41040

Step-4: Factors of 82099

List of positive integer factors of 82099 that divides 82080 without a remainder.

1, 19, 29, 149, 551, 2831, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82080 and 82099. The biggest common factor number is the GCF number.
So the greatest common factor 82080 and 82099 is 19.

Also check out the Least Common Multiple of 82080 and 82099