What is the Greatest Common Factor of 73165 and 73170?

Greatest common factor (GCF) of 73165 and 73170 is 5.

GCF(73165,73170) = 5

We will now calculate the prime factors of 73165 and 73170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73165 and 73170.

How to find the GCF of 73165 and 73170?

We will first find the prime factorization of 73165 and 73170. After we will calculate the factors of 73165 and 73170 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 73170

Prime factors of 73170 are 2, 3, 5, 271. Prime factorization of 73170 in exponential form is:

73170 = 2¹ × 3³ × 5¹ × 271¹

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 73170

List of positive integer factors of 73170 that divides 73165 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 271, 542, 813, 1355, 1626, 2439, 2710, 4065, 4878, 7317, 8130, 12195, 14634, 24390, 36585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73165 and 73170. The biggest common factor number is the GCF number.
So the greatest common factor 73165 and 73170 is 5.

Also check out the Least Common Multiple of 73165 and 73170