What is the Greatest Common Factor of 73160 and 73165?

Greatest common factor (GCF) of 73160 and 73165 is 5.

GCF(73160,73165) = 5

We will now calculate the prime factors of 73160 and 73165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73160 and 73165.

How to find the GCF of 73160 and 73165?

We will first find the prime factorization of 73160 and 73165. After we will calculate the factors of 73160 and 73165 and find the biggest common factor number .

Step-1: Prime Factorization of 73160

Prime factors of 73160 are 2, 5, 31, 59. Prime factorization of 73160 in exponential form is:

73160 = 2³ × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 73165

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

73165 = 5¹ × 14633¹

Step-3: Factors of 73160

List of positive integer factors of 73160 that divides 73160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 59, 62, 118, 124, 155, 236, 248, 295, 310, 472, 590, 620, 1180, 1240, 1829, 2360, 3658, 7316, 9145, 14632, 18290, 36580

Step-4: Factors of 73165

List of positive integer factors of 73165 that divides 73160 without a remainder.

1, 5, 14633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73160 and 73165. The biggest common factor number is the GCF number.
So the greatest common factor 73160 and 73165 is 5.

Also check out the Least Common Multiple of 73160 and 73165