What is the Greatest Common Factor of 34364 and 34369?

Greatest common factor (GCF) of 34364 and 34369 is 1.

GCF(34364,34369) = 1

We will now calculate the prime factors of 34364 and 34369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34364 and 34369.

How to find the GCF of 34364 and 34369?

We will first find the prime factorization of 34364 and 34369. After we will calculate the factors of 34364 and 34369 and find the biggest common factor number .

Step-1: Prime Factorization of 34364

Prime factors of 34364 are 2, 11, 71. Prime factorization of 34364 in exponential form is:

34364 = 2² × 11² × 71¹

Step-2: Prime Factorization of 34369

Prime factors of 34369 are 34369. Prime factorization of 34369 in exponential form is:

34369 = 34369¹

Step-3: Factors of 34364

List of positive integer factors of 34364 that divides 34364 without a remainder.

1, 2, 4, 11, 22, 44, 71, 121, 142, 242, 284, 484, 781, 1562, 3124, 8591, 17182

Step-4: Factors of 34369

List of positive integer factors of 34369 that divides 34364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34364 and 34369. The biggest common factor number is the GCF number.
So the greatest common factor 34364 and 34369 is 1.

Also check out the Least Common Multiple of 34364 and 34369