What is the Greatest Common Factor of 35321 and 35337?

Greatest common factor (GCF) of 35321 and 35337 is 1.

GCF(35321,35337) = 1

We will now calculate the prime factors of 35321 and 35337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35321 and 35337.

How to find the GCF of 35321 and 35337?

We will first find the prime factorization of 35321 and 35337. After we will calculate the factors of 35321 and 35337 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35337

Prime factors of 35337 are 3, 11779. Prime factorization of 35337 in exponential form is:

35337 = 3¹ × 11779¹

Step-3: Factors of 35321

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

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

Step-4: Factors of 35337

List of positive integer factors of 35337 that divides 35321 without a remainder.

1, 3, 11779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35321 and 35337. The biggest common factor number is the GCF number.
So the greatest common factor 35321 and 35337 is 1.

Also check out the Least Common Multiple of 35321 and 35337