What is the Greatest Common Factor of 64320 and 64340?

Greatest common factor (GCF) of 64320 and 64340 is 20.

GCF(64320,64340) = 20

We will now calculate the prime factors of 64320 and 64340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64320 and 64340.

How to find the GCF of 64320 and 64340?

We will first find the prime factorization of 64320 and 64340. After we will calculate the factors of 64320 and 64340 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 64340

Prime factors of 64340 are 2, 5, 3217. Prime factorization of 64340 in exponential form is:

64340 = 2² × 5¹ × 3217¹

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 64340

List of positive integer factors of 64340 that divides 64320 without a remainder.

1, 2, 4, 5, 10, 20, 3217, 6434, 12868, 16085, 32170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64320 and 64340. The biggest common factor number is the GCF number.
So the greatest common factor 64320 and 64340 is 20.

Also check out the Least Common Multiple of 64320 and 64340