What is the Greatest Common Factor of 34365 and 34385?

Greatest common factor (GCF) of 34365 and 34385 is 5.

GCF(34365,34385) = 5

We will now calculate the prime factors of 34365 and 34385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34365 and 34385.

How to find the GCF of 34365 and 34385?

We will first find the prime factorization of 34365 and 34385. After we will calculate the factors of 34365 and 34385 and find the biggest common factor number .

Step-1: Prime Factorization of 34365

Prime factors of 34365 are 3, 5, 29, 79. Prime factorization of 34365 in exponential form is:

34365 = 3¹ × 5¹ × 29¹ × 79¹

Step-2: Prime Factorization of 34385

Prime factors of 34385 are 5, 13, 23. Prime factorization of 34385 in exponential form is:

34385 = 5¹ × 13¹ × 23²

Step-3: Factors of 34365

List of positive integer factors of 34365 that divides 34365 without a remainder.

1, 3, 5, 15, 29, 79, 87, 145, 237, 395, 435, 1185, 2291, 6873, 11455

Step-4: Factors of 34385

List of positive integer factors of 34385 that divides 34365 without a remainder.

1, 5, 13, 23, 65, 115, 299, 529, 1495, 2645, 6877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34365 and 34385. The biggest common factor number is the GCF number.
So the greatest common factor 34365 and 34385 is 5.

Also check out the Least Common Multiple of 34365 and 34385