What is the Greatest Common Factor of 34372 and 34385?

Greatest common factor (GCF) of 34372 and 34385 is 13.

GCF(34372,34385) = 13

We will now calculate the prime factors of 34372 and 34385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34372 and 34385.

How to find the GCF of 34372 and 34385?

We will first find the prime factorization of 34372 and 34385. After we will calculate the factors of 34372 and 34385 and find the biggest common factor number .

Step-1: Prime Factorization of 34372

Prime factors of 34372 are 2, 13, 661. Prime factorization of 34372 in exponential form is:

34372 = 2² × 13¹ × 661¹

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 34372

List of positive integer factors of 34372 that divides 34372 without a remainder.

1, 2, 4, 13, 26, 52, 661, 1322, 2644, 8593, 17186

Step-4: Factors of 34385

List of positive integer factors of 34385 that divides 34372 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 34372 and 34385. The biggest common factor number is the GCF number.
So the greatest common factor 34372 and 34385 is 13.

Also check out the Least Common Multiple of 34372 and 34385