What is the Greatest Common Factor of 80150 and 80162?

Greatest common factor (GCF) of 80150 and 80162 is 2.

GCF(80150,80162) = 2

We will now calculate the prime factors of 80150 and 80162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80150 and 80162.

How to find the GCF of 80150 and 80162?

We will first find the prime factorization of 80150 and 80162. After we will calculate the factors of 80150 and 80162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80162

Prime factors of 80162 are 2, 149, 269. Prime factorization of 80162 in exponential form is:

80162 = 2¹ × 149¹ × 269¹

Step-3: Factors of 80150

List of positive integer factors of 80150 that divides 80150 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

Step-4: Factors of 80162

List of positive integer factors of 80162 that divides 80150 without a remainder.

1, 2, 149, 269, 298, 538, 40081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80150 and 80162. The biggest common factor number is the GCF number.
So the greatest common factor 80150 and 80162 is 2.

Also check out the Least Common Multiple of 80150 and 80162