What is the Greatest Common Factor of 34360 and 34365?

Greatest common factor (GCF) of 34360 and 34365 is 5.

GCF(34360,34365) = 5

We will now calculate the prime factors of 34360 and 34365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34360 and 34365.

How to find the GCF of 34360 and 34365?

We will first find the prime factorization of 34360 and 34365. After we will calculate the factors of 34360 and 34365 and find the biggest common factor number .

Step-1: Prime Factorization of 34360

Prime factors of 34360 are 2, 5, 859. Prime factorization of 34360 in exponential form is:

34360 = 2³ × 5¹ × 859¹

Step-2: 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-3: Factors of 34360

List of positive integer factors of 34360 that divides 34360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 859, 1718, 3436, 4295, 6872, 8590, 17180

Step-4: Factors of 34365

List of positive integer factors of 34365 that divides 34360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34360 and 34365. The biggest common factor number is the GCF number.
So the greatest common factor 34360 and 34365 is 5.

Also check out the Least Common Multiple of 34360 and 34365