What is the Greatest Common Factor of 39347 and 39358?

Greatest common factor (GCF) of 39347 and 39358 is 11.

GCF(39347,39358) = 11

We will now calculate the prime factors of 39347 and 39358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39347 and 39358.

How to find the GCF of 39347 and 39358?

We will first find the prime factorization of 39347 and 39358. After we will calculate the factors of 39347 and 39358 and find the biggest common factor number .

Step-1: Prime Factorization of 39347

Prime factors of 39347 are 7, 11, 73. Prime factorization of 39347 in exponential form is:

39347 = 7² × 11¹ × 73¹

Step-2: Prime Factorization of 39358

Prime factors of 39358 are 2, 11, 1789. Prime factorization of 39358 in exponential form is:

39358 = 2¹ × 11¹ × 1789¹

Step-3: Factors of 39347

List of positive integer factors of 39347 that divides 39347 without a remainder.

1, 7, 11, 49, 73, 77, 511, 539, 803, 3577, 5621

Step-4: Factors of 39358

List of positive integer factors of 39358 that divides 39347 without a remainder.

1, 2, 11, 22, 1789, 3578, 19679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39347 and 39358. The biggest common factor number is the GCF number.
So the greatest common factor 39347 and 39358 is 11.

Also check out the Least Common Multiple of 39347 and 39358