What is the Greatest Common Factor of 64326 and 64335?

Greatest common factor (GCF) of 64326 and 64335 is 3.

GCF(64326,64335) = 3

We will now calculate the prime factors of 64326 and 64335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64326 and 64335.

How to find the GCF of 64326 and 64335?

We will first find the prime factorization of 64326 and 64335. After we will calculate the factors of 64326 and 64335 and find the biggest common factor number .

Step-1: Prime Factorization of 64326

Prime factors of 64326 are 2, 3, 71, 151. Prime factorization of 64326 in exponential form is:

64326 = 2¹ × 3¹ × 71¹ × 151¹

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 64326

List of positive integer factors of 64326 that divides 64326 without a remainder.

1, 2, 3, 6, 71, 142, 151, 213, 302, 426, 453, 906, 10721, 21442, 32163

Step-4: Factors of 64335

List of positive integer factors of 64335 that divides 64326 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64326 and 64335. The biggest common factor number is the GCF number.
So the greatest common factor 64326 and 64335 is 3.

Also check out the Least Common Multiple of 64326 and 64335