What is the Greatest Common Factor of 80028 and 80040?

Greatest common factor (GCF) of 80028 and 80040 is 12.

GCF(80028,80040) = 12

We will now calculate the prime factors of 80028 and 80040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80028 and 80040.

How to find the GCF of 80028 and 80040?

We will first find the prime factorization of 80028 and 80040. After we will calculate the factors of 80028 and 80040 and find the biggest common factor number .

Step-1: Prime Factorization of 80028

Prime factors of 80028 are 2, 3, 13, 19. Prime factorization of 80028 in exponential form is:

80028 = 2² × 3⁴ × 13¹ × 19¹

Step-2: Prime Factorization of 80040

Prime factors of 80040 are 2, 3, 5, 23, 29. Prime factorization of 80040 in exponential form is:

80040 = 2³ × 3¹ × 5¹ × 23¹ × 29¹

Step-3: Factors of 80028

List of positive integer factors of 80028 that divides 80028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52, 54, 57, 76, 78, 81, 108, 114, 117, 156, 162, 171, 228, 234, 247, 324, 342, 351, 468, 494, 513, 684, 702, 741, 988, 1026, 1053, 1404, 1482, 1539, 2052, 2106, 2223, 2964, 3078, 4212, 4446, 6156, 6669, 8892, 13338, 20007, 26676, 40014

Step-4: Factors of 80040

List of positive integer factors of 80040 that divides 80028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 29, 30, 40, 46, 58, 60, 69, 87, 92, 115, 116, 120, 138, 145, 174, 184, 230, 232, 276, 290, 345, 348, 435, 460, 552, 580, 667, 690, 696, 870, 920, 1160, 1334, 1380, 1740, 2001, 2668, 2760, 3335, 3480, 4002, 5336, 6670, 8004, 10005, 13340, 16008, 20010, 26680, 40020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80028 and 80040. The biggest common factor number is the GCF number.
So the greatest common factor 80028 and 80040 is 12.

Also check out the Least Common Multiple of 80028 and 80040