What is the Greatest Common Factor of 75104 and 75115?

Greatest common factor (GCF) of 75104 and 75115 is 1.

GCF(75104,75115) = 1

We will now calculate the prime factors of 75104 and 75115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75104 and 75115.

How to find the GCF of 75104 and 75115?

We will first find the prime factorization of 75104 and 75115. After we will calculate the factors of 75104 and 75115 and find the biggest common factor number .

Step-1: Prime Factorization of 75104

Prime factors of 75104 are 2, 2347. Prime factorization of 75104 in exponential form is:

75104 = 2⁵ × 2347¹

Step-2: Prime Factorization of 75115

Prime factors of 75115 are 5, 83, 181. Prime factorization of 75115 in exponential form is:

75115 = 5¹ × 83¹ × 181¹

Step-3: Factors of 75104

List of positive integer factors of 75104 that divides 75104 without a remainder.

1, 2, 4, 8, 16, 32, 2347, 4694, 9388, 18776, 37552

Step-4: Factors of 75115

List of positive integer factors of 75115 that divides 75104 without a remainder.

1, 5, 83, 181, 415, 905, 15023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75104 and 75115. The biggest common factor number is the GCF number.
So the greatest common factor 75104 and 75115 is 1.

Also check out the Least Common Multiple of 75104 and 75115