What is the Greatest Common Factor of 10349 and 10353?

Greatest common factor (GCF) of 10349 and 10353 is 1.

GCF(10349,10353) = 1

We will now calculate the prime factors of 10349 and 10353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10349 and 10353.

How to find the GCF of 10349 and 10353?

We will first find the prime factorization of 10349 and 10353. After we will calculate the factors of 10349 and 10353 and find the biggest common factor number .

Step-1: Prime Factorization of 10349

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

10349 = 79¹ × 131¹

Step-2: Prime Factorization of 10353

Prime factors of 10353 are 3, 7, 17, 29. Prime factorization of 10353 in exponential form is:

10353 = 3¹ × 7¹ × 17¹ × 29¹

Step-3: Factors of 10349

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

1, 79, 131

Step-4: Factors of 10353

List of positive integer factors of 10353 that divides 10349 without a remainder.

1, 3, 7, 17, 21, 29, 51, 87, 119, 203, 357, 493, 609, 1479, 3451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10349 and 10353. The biggest common factor number is the GCF number.
So the greatest common factor 10349 and 10353 is 1.

Also check out the Least Common Multiple of 10349 and 10353