What is the Greatest Common Factor of 34050 and 34065?

Greatest common factor (GCF) of 34050 and 34065 is 15.

GCF(34050,34065) = 15

We will now calculate the prime factors of 34050 and 34065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34050 and 34065.

How to find the GCF of 34050 and 34065?

We will first find the prime factorization of 34050 and 34065. After we will calculate the factors of 34050 and 34065 and find the biggest common factor number .

Step-1: Prime Factorization of 34050

Prime factors of 34050 are 2, 3, 5, 227. Prime factorization of 34050 in exponential form is:

34050 = 2¹ × 3¹ × 5² × 227¹

Step-2: Prime Factorization of 34065

Prime factors of 34065 are 3, 5, 757. Prime factorization of 34065 in exponential form is:

34065 = 3² × 5¹ × 757¹

Step-3: Factors of 34050

List of positive integer factors of 34050 that divides 34050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 227, 454, 681, 1135, 1362, 2270, 3405, 5675, 6810, 11350, 17025

Step-4: Factors of 34065

List of positive integer factors of 34065 that divides 34050 without a remainder.

1, 3, 5, 9, 15, 45, 757, 2271, 3785, 6813, 11355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34050 and 34065. The biggest common factor number is the GCF number.
So the greatest common factor 34050 and 34065 is 15.

Also check out the Least Common Multiple of 34050 and 34065