What is the Greatest Common Factor of 34374 and 34387?

Greatest common factor (GCF) of 34374 and 34387 is 1.

GCF(34374,34387) = 1

We will now calculate the prime factors of 34374 and 34387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34374 and 34387.

How to find the GCF of 34374 and 34387?

We will first find the prime factorization of 34374 and 34387. After we will calculate the factors of 34374 and 34387 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 34387

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

34387 = 137¹ × 251¹

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 34387

List of positive integer factors of 34387 that divides 34374 without a remainder.

1, 137, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34374 and 34387. The biggest common factor number is the GCF number.
So the greatest common factor 34374 and 34387 is 1.

Also check out the Least Common Multiple of 34374 and 34387