What is the Greatest Common Factor of 80010 and 80028?

Greatest common factor (GCF) of 80010 and 80028 is 18.

GCF(80010,80028) = 18

We will now calculate the prime factors of 80010 and 80028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80010 and 80028.

How to find the GCF of 80010 and 80028?

We will first find the prime factorization of 80010 and 80028. After we will calculate the factors of 80010 and 80028 and find the biggest common factor number .

Step-1: Prime Factorization of 80010

Prime factors of 80010 are 2, 3, 5, 7, 127. Prime factorization of 80010 in exponential form is:

80010 = 2¹ × 3² × 5¹ × 7¹ × 127¹

Step-2: 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-3: Factors of 80010

List of positive integer factors of 80010 that divides 80010 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 127, 210, 254, 315, 381, 630, 635, 762, 889, 1143, 1270, 1778, 1905, 2286, 2667, 3810, 4445, 5334, 5715, 8001, 8890, 11430, 13335, 16002, 26670, 40005

Step-4: Factors of 80028

List of positive integer factors of 80028 that divides 80010 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80010 and 80028. The biggest common factor number is the GCF number.
So the greatest common factor 80010 and 80028 is 18.

Also check out the Least Common Multiple of 80010 and 80028