What is the Greatest Common Factor of 73095 and 73110?

Greatest common factor (GCF) of 73095 and 73110 is 15.

GCF(73095,73110) = 15

We will now calculate the prime factors of 73095 and 73110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73095 and 73110.

How to find the GCF of 73095 and 73110?

We will first find the prime factorization of 73095 and 73110. After we will calculate the factors of 73095 and 73110 and find the biggest common factor number .

Step-1: Prime Factorization of 73095

Prime factors of 73095 are 3, 5, 11, 443. Prime factorization of 73095 in exponential form is:

73095 = 3¹ × 5¹ × 11¹ × 443¹

Step-2: Prime Factorization of 73110

Prime factors of 73110 are 2, 3, 5, 2437. Prime factorization of 73110 in exponential form is:

73110 = 2¹ × 3¹ × 5¹ × 2437¹

Step-3: Factors of 73095

List of positive integer factors of 73095 that divides 73095 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 443, 1329, 2215, 4873, 6645, 14619, 24365

Step-4: Factors of 73110

List of positive integer factors of 73110 that divides 73095 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2437, 4874, 7311, 12185, 14622, 24370, 36555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73095 and 73110. The biggest common factor number is the GCF number.
So the greatest common factor 73095 and 73110 is 15.

Also check out the Least Common Multiple of 73095 and 73110