What is the Greatest Common Factor of 64320 and 64331?

Greatest common factor (GCF) of 64320 and 64331 is 1.

GCF(64320,64331) = 1

We will now calculate the prime factors of 64320 and 64331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64320 and 64331.

How to find the GCF of 64320 and 64331?

We will first find the prime factorization of 64320 and 64331. After we will calculate the factors of 64320 and 64331 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 64331

Prime factors of 64331 are 23, 2797. Prime factorization of 64331 in exponential form is:

64331 = 23¹ × 2797¹

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 64331

List of positive integer factors of 64331 that divides 64320 without a remainder.

1, 23, 2797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64320 and 64331. The biggest common factor number is the GCF number.
So the greatest common factor 64320 and 64331 is 1.

Also check out the Least Common Multiple of 64320 and 64331