What is the Greatest Common Factor of 34485 and 34489?

Greatest common factor (GCF) of 34485 and 34489 is 1.

GCF(34485,34489) = 1

We will now calculate the prime factors of 34485 and 34489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34485 and 34489.

How to find the GCF of 34485 and 34489?

We will first find the prime factorization of 34485 and 34489. After we will calculate the factors of 34485 and 34489 and find the biggest common factor number .

Step-1: Prime Factorization of 34485

Prime factors of 34485 are 3, 5, 11, 19. Prime factorization of 34485 in exponential form is:

34485 = 3¹ × 5¹ × 11² × 19¹

Step-2: Prime Factorization of 34489

Prime factors of 34489 are 7, 13, 379. Prime factorization of 34489 in exponential form is:

34489 = 7¹ × 13¹ × 379¹

Step-3: Factors of 34485

List of positive integer factors of 34485 that divides 34485 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 121, 165, 209, 285, 363, 605, 627, 1045, 1815, 2299, 3135, 6897, 11495

Step-4: Factors of 34489

List of positive integer factors of 34489 that divides 34485 without a remainder.

1, 7, 13, 91, 379, 2653, 4927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34485 and 34489. The biggest common factor number is the GCF number.
So the greatest common factor 34485 and 34489 is 1.

Also check out the Least Common Multiple of 34485 and 34489