What is the Greatest Common Factor of 64431 and 64440?

Greatest common factor (GCF) of 64431 and 64440 is 9.

GCF(64431,64440) = 9

We will now calculate the prime factors of 64431 and 64440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64431 and 64440.

How to find the GCF of 64431 and 64440?

We will first find the prime factorization of 64431 and 64440. After we will calculate the factors of 64431 and 64440 and find the biggest common factor number .

Step-1: Prime Factorization of 64431

Prime factors of 64431 are 3, 7159. Prime factorization of 64431 in exponential form is:

64431 = 3² × 7159¹

Step-2: Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 2³ × 3² × 5¹ × 179¹

Step-3: Factors of 64431

List of positive integer factors of 64431 that divides 64431 without a remainder.

1, 3, 9, 7159, 21477

Step-4: Factors of 64440

List of positive integer factors of 64440 that divides 64431 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 179, 180, 358, 360, 537, 716, 895, 1074, 1432, 1611, 1790, 2148, 2685, 3222, 3580, 4296, 5370, 6444, 7160, 8055, 10740, 12888, 16110, 21480, 32220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64431 and 64440. The biggest common factor number is the GCF number.
So the greatest common factor 64431 and 64440 is 9.

Also check out the Least Common Multiple of 64431 and 64440