What is the Greatest Common Factor of 10320 and 10335?

Greatest common factor (GCF) of 10320 and 10335 is 15.

GCF(10320,10335) = 15

We will now calculate the prime factors of 10320 and 10335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10320 and 10335.

How to find the GCF of 10320 and 10335?

We will first find the prime factorization of 10320 and 10335. After we will calculate the factors of 10320 and 10335 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 10335

Prime factors of 10335 are 3, 5, 13, 53. Prime factorization of 10335 in exponential form is:

10335 = 3¹ × 5¹ × 13¹ × 53¹

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 10335

List of positive integer factors of 10335 that divides 10320 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10320 and 10335. The biggest common factor number is the GCF number.
So the greatest common factor 10320 and 10335 is 15.

Also check out the Least Common Multiple of 10320 and 10335