What is the Greatest Common Factor of 80058 and 80062?

Greatest common factor (GCF) of 80058 and 80062 is 2.

GCF(80058,80062) = 2

We will now calculate the prime factors of 80058 and 80062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80058 and 80062.

How to find the GCF of 80058 and 80062?

We will first find the prime factorization of 80058 and 80062. After we will calculate the factors of 80058 and 80062 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 80062

Prime factors of 80062 are 2, 40031. Prime factorization of 80062 in exponential form is:

80062 = 2¹ × 40031¹

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 80062

List of positive integer factors of 80062 that divides 80058 without a remainder.

1, 2, 40031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80058 and 80062. The biggest common factor number is the GCF number.
So the greatest common factor 80058 and 80062 is 2.

Also check out the Least Common Multiple of 80058 and 80062