What is the Greatest Common Factor of 34359 and 34374?

Greatest common factor (GCF) of 34359 and 34374 is 3.

GCF(34359,34374) = 3

We will now calculate the prime factors of 34359 and 34374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34359 and 34374.

How to find the GCF of 34359 and 34374?

We will first find the prime factorization of 34359 and 34374. After we will calculate the factors of 34359 and 34374 and find the biggest common factor number .

Step-1: Prime Factorization of 34359

Prime factors of 34359 are 3, 13, 881. Prime factorization of 34359 in exponential form is:

34359 = 3¹ × 13¹ × 881¹

Step-2: Prime Factorization of 34374

Prime factors of 34374 are 2, 3, 17, 337. Prime factorization of 34374 in exponential form is:

34374 = 2¹ × 3¹ × 17¹ × 337¹

Step-3: Factors of 34359

List of positive integer factors of 34359 that divides 34359 without a remainder.

1, 3, 13, 39, 881, 2643, 11453

Step-4: Factors of 34374

List of positive integer factors of 34374 that divides 34359 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 337, 674, 1011, 2022, 5729, 11458, 17187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34359 and 34374. The biggest common factor number is the GCF number.
So the greatest common factor 34359 and 34374 is 3.

Also check out the Least Common Multiple of 34359 and 34374