What is the Greatest Common Factor of 80050 and 80058?

Greatest common factor (GCF) of 80050 and 80058 is 2.

GCF(80050,80058) = 2

We will now calculate the prime factors of 80050 and 80058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80050 and 80058.

How to find the GCF of 80050 and 80058?

We will first find the prime factorization of 80050 and 80058. After we will calculate the factors of 80050 and 80058 and find the biggest common factor number .

Step-1: Prime Factorization of 80050

Prime factors of 80050 are 2, 5, 1601. Prime factorization of 80050 in exponential form is:

80050 = 2¹ × 5² × 1601¹

Step-2: 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-3: Factors of 80050

List of positive integer factors of 80050 that divides 80050 without a remainder.

1, 2, 5, 10, 25, 50, 1601, 3202, 8005, 16010, 40025

Step-4: Factors of 80058

List of positive integer factors of 80058 that divides 80050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80050 and 80058. The biggest common factor number is the GCF number.
So the greatest common factor 80050 and 80058 is 2.

Also check out the Least Common Multiple of 80050 and 80058