What is the Greatest Common Factor of 80130 and 80150?

Greatest common factor (GCF) of 80130 and 80150 is 10.

GCF(80130,80150) = 10

We will now calculate the prime factors of 80130 and 80150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80130 and 80150.

How to find the GCF of 80130 and 80150?

We will first find the prime factorization of 80130 and 80150. After we will calculate the factors of 80130 and 80150 and find the biggest common factor number .

Step-1: Prime Factorization of 80130

Prime factors of 80130 are 2, 3, 5, 2671. Prime factorization of 80130 in exponential form is:

80130 = 2¹ × 3¹ × 5¹ × 2671¹

Step-2: Prime Factorization of 80150

Prime factors of 80150 are 2, 5, 7, 229. Prime factorization of 80150 in exponential form is:

80150 = 2¹ × 5² × 7¹ × 229¹

Step-3: Factors of 80130

List of positive integer factors of 80130 that divides 80130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2671, 5342, 8013, 13355, 16026, 26710, 40065

Step-4: Factors of 80150

List of positive integer factors of 80150 that divides 80130 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 229, 350, 458, 1145, 1603, 2290, 3206, 5725, 8015, 11450, 16030, 40075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80130 and 80150. The biggest common factor number is the GCF number.
So the greatest common factor 80130 and 80150 is 10.

Also check out the Least Common Multiple of 80130 and 80150