What is the Greatest Common Factor of 35317 and 35321?

Greatest common factor (GCF) of 35317 and 35321 is 1.

GCF(35317,35321) = 1

We will now calculate the prime factors of 35317 and 35321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35317 and 35321.

How to find the GCF of 35317 and 35321?

We will first find the prime factorization of 35317 and 35321. After we will calculate the factors of 35317 and 35321 and find the biggest common factor number .

Step-1: Prime Factorization of 35317

Prime factors of 35317 are 35317. Prime factorization of 35317 in exponential form is:

35317 = 35317¹

Step-2: Prime Factorization of 35321

Prime factors of 35321 are 11, 13, 19. Prime factorization of 35321 in exponential form is:

35321 = 11¹ × 13² × 19¹

Step-3: Factors of 35317

List of positive integer factors of 35317 that divides 35317 without a remainder.

Step-4: Factors of 35321

List of positive integer factors of 35321 that divides 35317 without a remainder.

1, 11, 13, 19, 143, 169, 209, 247, 1859, 2717, 3211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35317 and 35321. The biggest common factor number is the GCF number.
So the greatest common factor 35317 and 35321 is 1.

Also check out the Least Common Multiple of 35317 and 35321