What is the Greatest Common Factor of 34377 and 34396?

Greatest common factor (GCF) of 34377 and 34396 is 1.

GCF(34377,34396) = 1

We will now calculate the prime factors of 34377 and 34396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34377 and 34396.

How to find the GCF of 34377 and 34396?

We will first find the prime factorization of 34377 and 34396. After we will calculate the factors of 34377 and 34396 and find the biggest common factor number .

Step-1: Prime Factorization of 34377

Prime factors of 34377 are 3, 7, 1637. Prime factorization of 34377 in exponential form is:

34377 = 3¹ × 7¹ × 1637¹

Step-2: Prime Factorization of 34396

Prime factors of 34396 are 2, 8599. Prime factorization of 34396 in exponential form is:

34396 = 2² × 8599¹

Step-3: Factors of 34377

List of positive integer factors of 34377 that divides 34377 without a remainder.

1, 3, 7, 21, 1637, 4911, 11459

Step-4: Factors of 34396

List of positive integer factors of 34396 that divides 34377 without a remainder.

1, 2, 4, 8599, 17198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34377 and 34396. The biggest common factor number is the GCF number.
So the greatest common factor 34377 and 34396 is 1.

Also check out the Least Common Multiple of 34377 and 34396