What is the Greatest Common Factor of 34372 and 34387?

Greatest common factor (GCF) of 34372 and 34387 is 1.

GCF(34372,34387) = 1

We will now calculate the prime factors of 34372 and 34387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34372 and 34387.

How to find the GCF of 34372 and 34387?

We will first find the prime factorization of 34372 and 34387. After we will calculate the factors of 34372 and 34387 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 34387

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

34387 = 137¹ × 251¹

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 34387

List of positive integer factors of 34387 that divides 34372 without a remainder.

1, 137, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34372 and 34387. The biggest common factor number is the GCF number.
So the greatest common factor 34372 and 34387 is 1.

Also check out the Least Common Multiple of 34372 and 34387