What is the Greatest Common Factor of 10353 and 10372?

Greatest common factor (GCF) of 10353 and 10372 is 1.

GCF(10353,10372) = 1

We will now calculate the prime factors of 10353 and 10372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10353 and 10372.

How to find the GCF of 10353 and 10372?

We will first find the prime factorization of 10353 and 10372. After we will calculate the factors of 10353 and 10372 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 10372

Prime factors of 10372 are 2, 2593. Prime factorization of 10372 in exponential form is:

10372 = 2² × 2593¹

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 10372

List of positive integer factors of 10372 that divides 10353 without a remainder.

1, 2, 4, 2593, 5186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10353 and 10372. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10372 is 1.

Also check out the Least Common Multiple of 10353 and 10372