What is the Greatest Common Factor of 67170 and 67180?

Greatest common factor (GCF) of 67170 and 67180 is 10.

GCF(67170,67180) = 10

We will now calculate the prime factors of 67170 and 67180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67170 and 67180.

How to find the GCF of 67170 and 67180?

We will first find the prime factorization of 67170 and 67180. After we will calculate the factors of 67170 and 67180 and find the biggest common factor number .

Step-1: Prime Factorization of 67170

Prime factors of 67170 are 2, 3, 5, 2239. Prime factorization of 67170 in exponential form is:

67170 = 2¹ × 3¹ × 5¹ × 2239¹

Step-2: Prime Factorization of 67180

Prime factors of 67180 are 2, 5, 3359. Prime factorization of 67180 in exponential form is:

67180 = 2² × 5¹ × 3359¹

Step-3: Factors of 67170

List of positive integer factors of 67170 that divides 67170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2239, 4478, 6717, 11195, 13434, 22390, 33585

Step-4: Factors of 67180

List of positive integer factors of 67180 that divides 67170 without a remainder.

1, 2, 4, 5, 10, 20, 3359, 6718, 13436, 16795, 33590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67170 and 67180. The biggest common factor number is the GCF number.
So the greatest common factor 67170 and 67180 is 10.

Also check out the Least Common Multiple of 67170 and 67180