What is the Greatest Common Factor of 64302 and 64320?

Greatest common factor (GCF) of 64302 and 64320 is 6.

GCF(64302,64320) = 6

We will now calculate the prime factors of 64302 and 64320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64302 and 64320.

How to find the GCF of 64302 and 64320?

We will first find the prime factorization of 64302 and 64320. After we will calculate the factors of 64302 and 64320 and find the biggest common factor number .

Step-1: Prime Factorization of 64302

Prime factors of 64302 are 2, 3, 7, 1531. Prime factorization of 64302 in exponential form is:

64302 = 2¹ × 3¹ × 7¹ × 1531¹

Step-2: 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-3: Factors of 64302

List of positive integer factors of 64302 that divides 64302 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1531, 3062, 4593, 9186, 10717, 21434, 32151

Step-4: Factors of 64320

List of positive integer factors of 64320 that divides 64302 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64302 and 64320. The biggest common factor number is the GCF number.
So the greatest common factor 64302 and 64320 is 6.

Also check out the Least Common Multiple of 64302 and 64320