What is the Greatest Common Factor of 10320 and 10337?

Greatest common factor (GCF) of 10320 and 10337 is 1.

GCF(10320,10337) = 1

We will now calculate the prime factors of 10320 and 10337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10320 and 10337.

How to find the GCF of 10320 and 10337?

We will first find the prime factorization of 10320 and 10337. After we will calculate the factors of 10320 and 10337 and find the biggest common factor number .

Step-1: Prime Factorization of 10320

Prime factors of 10320 are 2, 3, 5, 43. Prime factorization of 10320 in exponential form is:

10320 = 2⁴ × 3¹ × 5¹ × 43¹

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 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160

Step-4: Factors of 10337

List of positive integer factors of 10337 that divides 10320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10320 and 10337. The biggest common factor number is the GCF number.
So the greatest common factor 10320 and 10337 is 1.

Also check out the Least Common Multiple of 10320 and 10337