What is the Greatest Common Factor of 34387 and 34394?

Greatest common factor (GCF) of 34387 and 34394 is 1.

GCF(34387,34394) = 1

We will now calculate the prime factors of 34387 and 34394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34387 and 34394.

How to find the GCF of 34387 and 34394?

We will first find the prime factorization of 34387 and 34394. After we will calculate the factors of 34387 and 34394 and find the biggest common factor number .

Step-1: Prime Factorization of 34387

Prime factors of 34387 are 137, 251. Prime factorization of 34387 in exponential form is:

34387 = 137¹ × 251¹

Step-2: Prime Factorization of 34394

Prime factors of 34394 are 2, 29, 593. Prime factorization of 34394 in exponential form is:

34394 = 2¹ × 29¹ × 593¹

Step-3: Factors of 34387

List of positive integer factors of 34387 that divides 34387 without a remainder.

1, 137, 251

Step-4: Factors of 34394

List of positive integer factors of 34394 that divides 34387 without a remainder.

1, 2, 29, 58, 593, 1186, 17197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34387 and 34394. The biggest common factor number is the GCF number.
So the greatest common factor 34387 and 34394 is 1.

Also check out the Least Common Multiple of 34387 and 34394