What is the Greatest Common Factor of 64320 and 64330?

Greatest common factor (GCF) of 64320 and 64330 is 10.

GCF(64320,64330) = 10

We will now calculate the prime factors of 64320 and 64330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64320 and 64330.

How to find the GCF of 64320 and 64330?

We will first find the prime factorization of 64320 and 64330. After we will calculate the factors of 64320 and 64330 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 64330

Prime factors of 64330 are 2, 5, 7, 919. Prime factorization of 64330 in exponential form is:

64330 = 2¹ × 5¹ × 7¹ × 919¹

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 64330

List of positive integer factors of 64330 that divides 64320 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 919, 1838, 4595, 6433, 9190, 12866, 32165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64320 and 64330. The biggest common factor number is the GCF number.
So the greatest common factor 64320 and 64330 is 10.

Also check out the Least Common Multiple of 64320 and 64330