What is the Greatest Common Factor of 80058 and 80073?

Greatest common factor (GCF) of 80058 and 80073 is 3.

GCF(80058,80073) = 3

We will now calculate the prime factors of 80058 and 80073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80058 and 80073.

How to find the GCF of 80058 and 80073?

We will first find the prime factorization of 80058 and 80073. After we will calculate the factors of 80058 and 80073 and find the biggest common factor number .

Step-1: Prime Factorization of 80058

Prime factors of 80058 are 2, 3, 11, 1213. Prime factorization of 80058 in exponential form is:

80058 = 2¹ × 3¹ × 11¹ × 1213¹

Step-2: Prime Factorization of 80073

Prime factors of 80073 are 3, 7, 31, 41. Prime factorization of 80073 in exponential form is:

80073 = 3² × 7¹ × 31¹ × 41¹

Step-3: Factors of 80058

List of positive integer factors of 80058 that divides 80058 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1213, 2426, 3639, 7278, 13343, 26686, 40029

Step-4: Factors of 80073

List of positive integer factors of 80073 that divides 80058 without a remainder.

1, 3, 7, 9, 21, 31, 41, 63, 93, 123, 217, 279, 287, 369, 651, 861, 1271, 1953, 2583, 3813, 8897, 11439, 26691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80058 and 80073. The biggest common factor number is the GCF number.
So the greatest common factor 80058 and 80073 is 3.

Also check out the Least Common Multiple of 80058 and 80073