What is the Greatest Common Factor of 10353 and 10361?

Greatest common factor (GCF) of 10353 and 10361 is 1.

GCF(10353,10361) = 1

We will now calculate the prime factors of 10353 and 10361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10353 and 10361.

How to find the GCF of 10353 and 10361?

We will first find the prime factorization of 10353 and 10361. After we will calculate the factors of 10353 and 10361 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 10361

Prime factors of 10361 are 13, 797. Prime factorization of 10361 in exponential form is:

10361 = 13¹ × 797¹

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 10361

List of positive integer factors of 10361 that divides 10353 without a remainder.

1, 13, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10353 and 10361. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10361 is 1.

Also check out the Least Common Multiple of 10353 and 10361