What is the Greatest Common Factor of 34790 and 34809?

Greatest common factor (GCF) of 34790 and 34809 is 1.

GCF(34790,34809) = 1

We will now calculate the prime factors of 34790 and 34809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34790 and 34809.

How to find the GCF of 34790 and 34809?

We will first find the prime factorization of 34790 and 34809. After we will calculate the factors of 34790 and 34809 and find the biggest common factor number .

Step-1: Prime Factorization of 34790

Prime factors of 34790 are 2, 5, 7, 71. Prime factorization of 34790 in exponential form is:

34790 = 2¹ × 5¹ × 7² × 71¹

Step-2: Prime Factorization of 34809

Prime factors of 34809 are 3, 41, 283. Prime factorization of 34809 in exponential form is:

34809 = 3¹ × 41¹ × 283¹

Step-3: Factors of 34790

List of positive integer factors of 34790 that divides 34790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 71, 98, 142, 245, 355, 490, 497, 710, 994, 2485, 3479, 4970, 6958, 17395

Step-4: Factors of 34809

List of positive integer factors of 34809 that divides 34790 without a remainder.

1, 3, 41, 123, 283, 849, 11603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34790 and 34809. The biggest common factor number is the GCF number.
So the greatest common factor 34790 and 34809 is 1.

Also check out the Least Common Multiple of 34790 and 34809