What is the Greatest Common Factor of 10353 and 10371?

Greatest common factor (GCF) of 10353 and 10371 is 3.

GCF(10353,10371) = 3

We will now calculate the prime factors of 10353 and 10371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10353 and 10371.

How to find the GCF of 10353 and 10371?

We will first find the prime factorization of 10353 and 10371. After we will calculate the factors of 10353 and 10371 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 10371

Prime factors of 10371 are 3, 3457. Prime factorization of 10371 in exponential form is:

10371 = 3¹ × 3457¹

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 10371

List of positive integer factors of 10371 that divides 10353 without a remainder.

1, 3, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10353 and 10371. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10371 is 3.

Also check out the Least Common Multiple of 10353 and 10371