What is the Greatest Common Factor of 73115 and 73129?

Greatest common factor (GCF) of 73115 and 73129 is 7.

GCF(73115,73129) = 7

We will now calculate the prime factors of 73115 and 73129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73115 and 73129.

How to find the GCF of 73115 and 73129?

We will first find the prime factorization of 73115 and 73129. After we will calculate the factors of 73115 and 73129 and find the biggest common factor number .

Step-1: Prime Factorization of 73115

Prime factors of 73115 are 5, 7, 2089. Prime factorization of 73115 in exponential form is:

73115 = 5¹ × 7¹ × 2089¹

Step-2: Prime Factorization of 73129

Prime factors of 73129 are 7, 31, 337. Prime factorization of 73129 in exponential form is:

73129 = 7¹ × 31¹ × 337¹

Step-3: Factors of 73115

List of positive integer factors of 73115 that divides 73115 without a remainder.

1, 5, 7, 35, 2089, 10445, 14623

Step-4: Factors of 73129

List of positive integer factors of 73129 that divides 73115 without a remainder.

1, 7, 31, 217, 337, 2359, 10447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73115 and 73129. The biggest common factor number is the GCF number.
So the greatest common factor 73115 and 73129 is 7.

Also check out the Least Common Multiple of 73115 and 73129