What is the Greatest Common Factor of 10353 and 10365?

Greatest common factor (GCF) of 10353 and 10365 is 3.

GCF(10353,10365) = 3

We will now calculate the prime factors of 10353 and 10365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10353 and 10365.

How to find the GCF of 10353 and 10365?

We will first find the prime factorization of 10353 and 10365. After we will calculate the factors of 10353 and 10365 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 10365

Prime factors of 10365 are 3, 5, 691. Prime factorization of 10365 in exponential form is:

10365 = 3¹ × 5¹ × 691¹

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 10365

List of positive integer factors of 10365 that divides 10353 without a remainder.

1, 3, 5, 15, 691, 2073, 3455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10353 and 10365. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10365 is 3.

Also check out the Least Common Multiple of 10353 and 10365