What is the Greatest Common Factor of 34374 and 34380?

Greatest common factor (GCF) of 34374 and 34380 is 6.

GCF(34374,34380) = 6

We will now calculate the prime factors of 34374 and 34380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34374 and 34380.

How to find the GCF of 34374 and 34380?

We will first find the prime factorization of 34374 and 34380. After we will calculate the factors of 34374 and 34380 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 34374

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

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

Step-4: Factors of 34380

List of positive integer factors of 34380 that divides 34374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34374 and 34380. The biggest common factor number is the GCF number.
So the greatest common factor 34374 and 34380 is 6.

Also check out the Least Common Multiple of 34374 and 34380