What is the Greatest Common Factor of 73075 and 73095?

Greatest common factor (GCF) of 73075 and 73095 is 5.

GCF(73075,73095) = 5

We will now calculate the prime factors of 73075 and 73095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73075 and 73095.

How to find the GCF of 73075 and 73095?

We will first find the prime factorization of 73075 and 73095. After we will calculate the factors of 73075 and 73095 and find the biggest common factor number .

Step-1: Prime Factorization of 73075

Prime factors of 73075 are 5, 37, 79. Prime factorization of 73075 in exponential form is:

73075 = 5² × 37¹ × 79¹

Step-2: 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-3: Factors of 73075

List of positive integer factors of 73075 that divides 73075 without a remainder.

1, 5, 25, 37, 79, 185, 395, 925, 1975, 2923, 14615

Step-4: Factors of 73095

List of positive integer factors of 73095 that divides 73075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73075 and 73095. The biggest common factor number is the GCF number.
So the greatest common factor 73075 and 73095 is 5.

Also check out the Least Common Multiple of 73075 and 73095