What is the Greatest Common Factor of 10353 and 10369?

Greatest common factor (GCF) of 10353 and 10369 is 1.

GCF(10353,10369) = 1

We will now calculate the prime factors of 10353 and 10369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10353 and 10369.

How to find the GCF of 10353 and 10369?

We will first find the prime factorization of 10353 and 10369. After we will calculate the factors of 10353 and 10369 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10369

Prime factors of 10369 are 10369. Prime factorization of 10369 in exponential form is:

10369 = 10369¹

Step-3: Factors of 10353

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

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

Step-4: Factors of 10369

List of positive integer factors of 10369 that divides 10353 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10353 and 10369. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10369 is 1.

Also check out the Least Common Multiple of 10353 and 10369