What is the Greatest Common Factor of 34481 and 34494?

Greatest common factor (GCF) of 34481 and 34494 is 1.

GCF(34481,34494) = 1

We will now calculate the prime factors of 34481 and 34494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34481 and 34494.

How to find the GCF of 34481 and 34494?

We will first find the prime factorization of 34481 and 34494. After we will calculate the factors of 34481 and 34494 and find the biggest common factor number .

Step-1: Prime Factorization of 34481

Prime factors of 34481 are 29, 41. Prime factorization of 34481 in exponential form is:

34481 = 29² × 41¹

Step-2: Prime Factorization of 34494

Prime factors of 34494 are 2, 3, 5749. Prime factorization of 34494 in exponential form is:

34494 = 2¹ × 3¹ × 5749¹

Step-3: Factors of 34481

List of positive integer factors of 34481 that divides 34481 without a remainder.

1, 29, 41, 841, 1189

Step-4: Factors of 34494

List of positive integer factors of 34494 that divides 34481 without a remainder.

1, 2, 3, 6, 5749, 11498, 17247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34481 and 34494. The biggest common factor number is the GCF number.
So the greatest common factor 34481 and 34494 is 1.

Also check out the Least Common Multiple of 34481 and 34494