What is the Greatest Common Factor of 80170 and 80180?

Greatest common factor (GCF) of 80170 and 80180 is 10.

GCF(80170,80180) = 10

We will now calculate the prime factors of 80170 and 80180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80170 and 80180.

How to find the GCF of 80170 and 80180?

We will first find the prime factorization of 80170 and 80180. After we will calculate the factors of 80170 and 80180 and find the biggest common factor number .

Step-1: Prime Factorization of 80170

Prime factors of 80170 are 2, 5, 8017. Prime factorization of 80170 in exponential form is:

80170 = 2¹ × 5¹ × 8017¹

Step-2: Prime Factorization of 80180

Prime factors of 80180 are 2, 5, 19, 211. Prime factorization of 80180 in exponential form is:

80180 = 2² × 5¹ × 19¹ × 211¹

Step-3: Factors of 80170

List of positive integer factors of 80170 that divides 80170 without a remainder.

1, 2, 5, 10, 8017, 16034, 40085

Step-4: Factors of 80180

List of positive integer factors of 80180 that divides 80170 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 211, 380, 422, 844, 1055, 2110, 4009, 4220, 8018, 16036, 20045, 40090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80170 and 80180. The biggest common factor number is the GCF number.
So the greatest common factor 80170 and 80180 is 10.

Also check out the Least Common Multiple of 80170 and 80180