What is the Greatest Common Factor of 73115 and 73125?

Greatest common factor (GCF) of 73115 and 73125 is 5.

GCF(73115,73125) = 5

We will now calculate the prime factors of 73115 and 73125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73115 and 73125.

How to find the GCF of 73115 and 73125?

We will first find the prime factorization of 73115 and 73125. After we will calculate the factors of 73115 and 73125 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 73125

Prime factors of 73125 are 3, 5, 13. Prime factorization of 73125 in exponential form is:

73125 = 3² × 5⁴ × 13¹

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 73125

List of positive integer factors of 73125 that divides 73115 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 125, 195, 225, 325, 375, 585, 625, 975, 1125, 1625, 1875, 2925, 4875, 5625, 8125, 14625, 24375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73115 and 73125. The biggest common factor number is the GCF number.
So the greatest common factor 73115 and 73125 is 5.

Also check out the Least Common Multiple of 73115 and 73125