What is the Greatest Common Factor of 80028 and 80042?

Greatest common factor (GCF) of 80028 and 80042 is 2.

GCF(80028,80042) = 2

We will now calculate the prime factors of 80028 and 80042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80028 and 80042.

How to find the GCF of 80028 and 80042?

We will first find the prime factorization of 80028 and 80042. After we will calculate the factors of 80028 and 80042 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 80042

Prime factors of 80042 are 2, 31, 1291. Prime factorization of 80042 in exponential form is:

80042 = 2¹ × 31¹ × 1291¹

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 80042

List of positive integer factors of 80042 that divides 80028 without a remainder.

1, 2, 31, 62, 1291, 2582, 40021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80028 and 80042. The biggest common factor number is the GCF number.
So the greatest common factor 80028 and 80042 is 2.

Also check out the Least Common Multiple of 80028 and 80042