What is the Greatest Common Factor of 34380 and 34393?

Greatest common factor (GCF) of 34380 and 34393 is 1.

GCF(34380,34393) = 1

We will now calculate the prime factors of 34380 and 34393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34380 and 34393.

How to find the GCF of 34380 and 34393?

We will first find the prime factorization of 34380 and 34393. After we will calculate the factors of 34380 and 34393 and find the biggest common factor number .

Step-1: Prime Factorization of 34380

Prime factors of 34380 are 2, 3, 5, 191. Prime factorization of 34380 in exponential form is:

34380 = 2² × 3² × 5¹ × 191¹

Step-2: Prime Factorization of 34393

Prime factors of 34393 are 163, 211. Prime factorization of 34393 in exponential form is:

34393 = 163¹ × 211¹

Step-3: Factors of 34380

List of positive integer factors of 34380 that divides 34380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 191, 382, 573, 764, 955, 1146, 1719, 1910, 2292, 2865, 3438, 3820, 5730, 6876, 8595, 11460, 17190

Step-4: Factors of 34393

List of positive integer factors of 34393 that divides 34380 without a remainder.

1, 163, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34380 and 34393. The biggest common factor number is the GCF number.
So the greatest common factor 34380 and 34393 is 1.

Also check out the Least Common Multiple of 34380 and 34393