What is the Greatest Common Factor of 34485 and 34493?

Greatest common factor (GCF) of 34485 and 34493 is 1.

GCF(34485,34493) = 1

We will now calculate the prime factors of 34485 and 34493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34485 and 34493.

How to find the GCF of 34485 and 34493?

We will first find the prime factorization of 34485 and 34493. After we will calculate the factors of 34485 and 34493 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 34493

Prime factors of 34493 are 17, 2029. Prime factorization of 34493 in exponential form is:

34493 = 17¹ × 2029¹

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 34493

List of positive integer factors of 34493 that divides 34485 without a remainder.

1, 17, 2029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34485 and 34493. The biggest common factor number is the GCF number.
So the greatest common factor 34485 and 34493 is 1.

Also check out the Least Common Multiple of 34485 and 34493