What is the Greatest Common Factor of 80368 and 80388?

Greatest common factor (GCF) of 80368 and 80388 is 4.

GCF(80368,80388) = 4

We will now calculate the prime factors of 80368 and 80388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80368 and 80388.

How to find the GCF of 80368 and 80388?

We will first find the prime factorization of 80368 and 80388. After we will calculate the factors of 80368 and 80388 and find the biggest common factor number .

Step-1: Prime Factorization of 80368

Prime factors of 80368 are 2, 5023. Prime factorization of 80368 in exponential form is:

80368 = 2⁴ × 5023¹

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 80368

List of positive integer factors of 80368 that divides 80368 without a remainder.

1, 2, 4, 8, 16, 5023, 10046, 20092, 40184

Step-4: Factors of 80388

List of positive integer factors of 80388 that divides 80368 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 80368 and 80388. The biggest common factor number is the GCF number.
So the greatest common factor 80368 and 80388 is 4.

Also check out the Least Common Multiple of 80368 and 80388