What is the Greatest Common Factor of 34454 and 34461?

Greatest common factor (GCF) of 34454 and 34461 is 7.

GCF(34454,34461) = 7

We will now calculate the prime factors of 34454 and 34461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34454 and 34461.

How to find the GCF of 34454 and 34461?

We will first find the prime factorization of 34454 and 34461. After we will calculate the factors of 34454 and 34461 and find the biggest common factor number .

Step-1: Prime Factorization of 34454

Prime factors of 34454 are 2, 7, 23, 107. Prime factorization of 34454 in exponential form is:

34454 = 2¹ × 7¹ × 23¹ × 107¹

Step-2: 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-3: Factors of 34454

List of positive integer factors of 34454 that divides 34454 without a remainder.

1, 2, 7, 14, 23, 46, 107, 161, 214, 322, 749, 1498, 2461, 4922, 17227

Step-4: Factors of 34461

List of positive integer factors of 34461 that divides 34454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34454 and 34461. The biggest common factor number is the GCF number.
So the greatest common factor 34454 and 34461 is 7.

Also check out the Least Common Multiple of 34454 and 34461