What is the Greatest Common Factor of 80458 and 80462?

Greatest common factor (GCF) of 80458 and 80462 is 2.

GCF(80458,80462) = 2

We will now calculate the prime factors of 80458 and 80462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80458 and 80462.

How to find the GCF of 80458 and 80462?

We will first find the prime factorization of 80458 and 80462. After we will calculate the factors of 80458 and 80462 and find the biggest common factor number .

Step-1: Prime Factorization of 80458

Prime factors of 80458 are 2, 7, 821. Prime factorization of 80458 in exponential form is:

80458 = 2¹ × 7² × 821¹

Step-2: Prime Factorization of 80462

Prime factors of 80462 are 2, 40231. Prime factorization of 80462 in exponential form is:

80462 = 2¹ × 40231¹

Step-3: Factors of 80458

List of positive integer factors of 80458 that divides 80458 without a remainder.

1, 2, 7, 14, 49, 98, 821, 1642, 5747, 11494, 40229

Step-4: Factors of 80462

List of positive integer factors of 80462 that divides 80458 without a remainder.

1, 2, 40231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80458 and 80462. The biggest common factor number is the GCF number.
So the greatest common factor 80458 and 80462 is 2.

Also check out the Least Common Multiple of 80458 and 80462