What is the Greatest Common Factor of 10332 and 10337?

Greatest common factor (GCF) of 10332 and 10337 is 1.

GCF(10332,10337) = 1

We will now calculate the prime factors of 10332 and 10337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10332 and 10337.

How to find the GCF of 10332 and 10337?

We will first find the prime factorization of 10332 and 10337. After we will calculate the factors of 10332 and 10337 and find the biggest common factor number .

Step-1: Prime Factorization of 10332

Prime factors of 10332 are 2, 3, 7, 41. Prime factorization of 10332 in exponential form is:

10332 = 2² × 3² × 7¹ × 41¹

Step-2: Prime Factorization of 10337

Prime factors of 10337 are 10337. Prime factorization of 10337 in exponential form is:

10337 = 10337¹

Step-3: Factors of 10332

List of positive integer factors of 10332 that divides 10332 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166

Step-4: Factors of 10337

List of positive integer factors of 10337 that divides 10332 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10332 and 10337. The biggest common factor number is the GCF number.
So the greatest common factor 10332 and 10337 is 1.

Also check out the Least Common Multiple of 10332 and 10337