What is the Greatest Common Factor of 73165 and 73180?

Greatest common factor (GCF) of 73165 and 73180 is 5.

GCF(73165,73180) = 5

We will now calculate the prime factors of 73165 and 73180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73165 and 73180.

How to find the GCF of 73165 and 73180?

We will first find the prime factorization of 73165 and 73180. After we will calculate the factors of 73165 and 73180 and find the biggest common factor number .

Step-1: Prime Factorization of 73165

Prime factors of 73165 are 5, 14633. Prime factorization of 73165 in exponential form is:

73165 = 5¹ × 14633¹

Step-2: Prime Factorization of 73180

Prime factors of 73180 are 2, 5, 3659. Prime factorization of 73180 in exponential form is:

73180 = 2² × 5¹ × 3659¹

Step-3: Factors of 73165

List of positive integer factors of 73165 that divides 73165 without a remainder.

1, 5, 14633

Step-4: Factors of 73180

List of positive integer factors of 73180 that divides 73165 without a remainder.

1, 2, 4, 5, 10, 20, 3659, 7318, 14636, 18295, 36590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73165 and 73180. The biggest common factor number is the GCF number.
So the greatest common factor 73165 and 73180 is 5.

Also check out the Least Common Multiple of 73165 and 73180