What is the Greatest Common Factor of 52320 and 52335?

Greatest common factor (GCF) of 52320 and 52335 is 15.

GCF(52320,52335) = 15

We will now calculate the prime factors of 52320 and 52335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52320 and 52335.

How to find the GCF of 52320 and 52335?

We will first find the prime factorization of 52320 and 52335. After we will calculate the factors of 52320 and 52335 and find the biggest common factor number .

Step-1: Prime Factorization of 52320

Prime factors of 52320 are 2, 3, 5, 109. Prime factorization of 52320 in exponential form is:

52320 = 2⁵ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 52335

Prime factors of 52335 are 3, 5, 1163. Prime factorization of 52335 in exponential form is:

52335 = 3² × 5¹ × 1163¹

Step-3: Factors of 52320

List of positive integer factors of 52320 that divides 52320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 109, 120, 160, 218, 240, 327, 436, 480, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 3488, 4360, 5232, 6540, 8720, 10464, 13080, 17440, 26160

Step-4: Factors of 52335

List of positive integer factors of 52335 that divides 52320 without a remainder.

1, 3, 5, 9, 15, 45, 1163, 3489, 5815, 10467, 17445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52320 and 52335. The biggest common factor number is the GCF number.
So the greatest common factor 52320 and 52335 is 15.

Also check out the Least Common Multiple of 52320 and 52335