What is the Greatest Common Factor of 80381 and 80388?

Greatest common factor (GCF) of 80381 and 80388 is 7.

GCF(80381,80388) = 7

We will now calculate the prime factors of 80381 and 80388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80381 and 80388.

How to find the GCF of 80381 and 80388?

We will first find the prime factorization of 80381 and 80388. After we will calculate the factors of 80381 and 80388 and find the biggest common factor number .

Step-1: Prime Factorization of 80381

Prime factors of 80381 are 7, 11483. Prime factorization of 80381 in exponential form is:

80381 = 7¹ × 11483¹

Step-2: 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-3: Factors of 80381

List of positive integer factors of 80381 that divides 80381 without a remainder.

1, 7, 11483

Step-4: Factors of 80388

List of positive integer factors of 80388 that divides 80381 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80381 and 80388. The biggest common factor number is the GCF number.
So the greatest common factor 80381 and 80388 is 7.

Also check out the Least Common Multiple of 80381 and 80388