What is the Greatest Common Factor of 80028 and 80038?

Greatest common factor (GCF) of 80028 and 80038 is 2.

GCF(80028,80038) = 2

We will now calculate the prime factors of 80028 and 80038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80028 and 80038.

How to find the GCF of 80028 and 80038?

We will first find the prime factorization of 80028 and 80038. After we will calculate the factors of 80028 and 80038 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 80038

Prime factors of 80038 are 2, 7, 5717. Prime factorization of 80038 in exponential form is:

80038 = 2¹ × 7¹ × 5717¹

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 80038

List of positive integer factors of 80038 that divides 80028 without a remainder.

1, 2, 7, 14, 5717, 11434, 40019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80028 and 80038. The biggest common factor number is the GCF number.
So the greatest common factor 80028 and 80038 is 2.

Also check out the Least Common Multiple of 80028 and 80038