What is the Greatest Common Factor of 10335 and 10349?

Greatest common factor (GCF) of 10335 and 10349 is 1.

GCF(10335,10349) = 1

We will now calculate the prime factors of 10335 and 10349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10335 and 10349.

How to find the GCF of 10335 and 10349?

We will first find the prime factorization of 10335 and 10349. After we will calculate the factors of 10335 and 10349 and find the biggest common factor number .

Step-1: Prime Factorization of 10335

Prime factors of 10335 are 3, 5, 13, 53. Prime factorization of 10335 in exponential form is:

10335 = 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 10349

Prime factors of 10349 are 79, 131. Prime factorization of 10349 in exponential form is:

10349 = 79¹ × 131¹

Step-3: Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445

Step-4: Factors of 10349

List of positive integer factors of 10349 that divides 10335 without a remainder.

1, 79, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10335 and 10349. The biggest common factor number is the GCF number.
So the greatest common factor 10335 and 10349 is 1.

Also check out the Least Common Multiple of 10335 and 10349