What is the Greatest Common Factor of 80008 and 80028?

Greatest common factor (GCF) of 80008 and 80028 is 4.

GCF(80008,80028) = 4

We will now calculate the prime factors of 80008 and 80028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80008 and 80028.

How to find the GCF of 80008 and 80028?

We will first find the prime factorization of 80008 and 80028. After we will calculate the factors of 80008 and 80028 and find the biggest common factor number .

Step-1: Prime Factorization of 80008

Prime factors of 80008 are 2, 73, 137. Prime factorization of 80008 in exponential form is:

80008 = 2³ × 73¹ × 137¹

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 80008

List of positive integer factors of 80008 that divides 80008 without a remainder.

1, 2, 4, 8, 73, 137, 146, 274, 292, 548, 584, 1096, 10001, 20002, 40004

Step-4: Factors of 80028

List of positive integer factors of 80028 that divides 80008 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 80008 and 80028. The biggest common factor number is the GCF number.
So the greatest common factor 80008 and 80028 is 4.

Also check out the Least Common Multiple of 80008 and 80028