What is the Greatest Common Factor of 80028 and 80035?

Greatest common factor (GCF) of 80028 and 80035 is 1.

GCF(80028,80035) = 1

We will now calculate the prime factors of 80028 and 80035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80028 and 80035.

How to find the GCF of 80028 and 80035?

We will first find the prime factorization of 80028 and 80035. After we will calculate the factors of 80028 and 80035 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 80035

Prime factors of 80035 are 5, 16007. Prime factorization of 80035 in exponential form is:

80035 = 5¹ × 16007¹

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 80035

List of positive integer factors of 80035 that divides 80028 without a remainder.

1, 5, 16007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80028 and 80035. The biggest common factor number is the GCF number.
So the greatest common factor 80028 and 80035 is 1.

Also check out the Least Common Multiple of 80028 and 80035