What is the Greatest Common Factor of 64320 and 64335?

Greatest common factor (GCF) of 64320 and 64335 is 15.

GCF(64320,64335) = 15

We will now calculate the prime factors of 64320 and 64335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64320 and 64335.

How to find the GCF of 64320 and 64335?

We will first find the prime factorization of 64320 and 64335. After we will calculate the factors of 64320 and 64335 and find the biggest common factor number .

Step-1: Prime Factorization of 64320

Prime factors of 64320 are 2, 3, 5, 67. Prime factorization of 64320 in exponential form is:

64320 = 2⁶ × 3¹ × 5¹ × 67¹

Step-2: Prime Factorization of 64335

Prime factors of 64335 are 3, 5, 4289. Prime factorization of 64335 in exponential form is:

64335 = 3¹ × 5¹ × 4289¹

Step-3: Factors of 64320

List of positive integer factors of 64320 that divides 64320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 67, 80, 96, 120, 134, 160, 192, 201, 240, 268, 320, 335, 402, 480, 536, 670, 804, 960, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 4288, 5360, 6432, 8040, 10720, 12864, 16080, 21440, 32160

Step-4: Factors of 64335

List of positive integer factors of 64335 that divides 64320 without a remainder.

1, 3, 5, 15, 4289, 12867, 21445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64320 and 64335. The biggest common factor number is the GCF number.
So the greatest common factor 64320 and 64335 is 15.

Also check out the Least Common Multiple of 64320 and 64335