What is the Greatest Common Factor of 34461 and 34465?

Greatest common factor (GCF) of 34461 and 34465 is 1.

GCF(34461,34465) = 1

We will now calculate the prime factors of 34461 and 34465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34461 and 34465.

How to find the GCF of 34461 and 34465?

We will first find the prime factorization of 34461 and 34465. After we will calculate the factors of 34461 and 34465 and find the biggest common factor number .

Step-1: Prime Factorization of 34461

Prime factors of 34461 are 3, 7, 547. Prime factorization of 34461 in exponential form is:

34461 = 3² × 7¹ × 547¹

Step-2: Prime Factorization of 34465

Prime factors of 34465 are 5, 61, 113. Prime factorization of 34465 in exponential form is:

34465 = 5¹ × 61¹ × 113¹

Step-3: Factors of 34461

List of positive integer factors of 34461 that divides 34461 without a remainder.

1, 3, 7, 9, 21, 63, 547, 1641, 3829, 4923, 11487

Step-4: Factors of 34465

List of positive integer factors of 34465 that divides 34461 without a remainder.

1, 5, 61, 113, 305, 565, 6893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34461 and 34465. The biggest common factor number is the GCF number.
So the greatest common factor 34461 and 34465 is 1.

Also check out the Least Common Multiple of 34461 and 34465