What is the Greatest Common Factor of 80388 and 80399?

Greatest common factor (GCF) of 80388 and 80399 is 11.

GCF(80388,80399) = 11

We will now calculate the prime factors of 80388 and 80399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80388 and 80399.

How to find the GCF of 80388 and 80399?

We will first find the prime factorization of 80388 and 80399. After we will calculate the factors of 80388 and 80399 and find the biggest common factor number .

Step-1: Prime Factorization of 80388

Prime factors of 80388 are 2, 3, 7, 11, 29. Prime factorization of 80388 in exponential form is:

80388 = 2² × 3² × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 80399

Prime factors of 80399 are 11, 7309. Prime factorization of 80399 in exponential form is:

80399 = 11¹ × 7309¹

Step-3: Factors of 80388

List of positive integer factors of 80388 that divides 80388 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 29, 33, 36, 42, 44, 58, 63, 66, 77, 84, 87, 99, 116, 126, 132, 154, 174, 198, 203, 231, 252, 261, 308, 319, 348, 396, 406, 462, 522, 609, 638, 693, 812, 924, 957, 1044, 1218, 1276, 1386, 1827, 1914, 2233, 2436, 2772, 2871, 3654, 3828, 4466, 5742, 6699, 7308, 8932, 11484, 13398, 20097, 26796, 40194

Step-4: Factors of 80399

List of positive integer factors of 80399 that divides 80388 without a remainder.

1, 11, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80388 and 80399. The biggest common factor number is the GCF number.
So the greatest common factor 80388 and 80399 is 11.

Also check out the Least Common Multiple of 80388 and 80399