What is the Greatest Common Factor of 64431 and 64437?

Greatest common factor (GCF) of 64431 and 64437 is 3.

GCF(64431,64437) = 3

We will now calculate the prime factors of 64431 and 64437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64431 and 64437.

How to find the GCF of 64431 and 64437?

We will first find the prime factorization of 64431 and 64437. After we will calculate the factors of 64431 and 64437 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 64437

Prime factors of 64437 are 3, 47, 457. Prime factorization of 64437 in exponential form is:

64437 = 3¹ × 47¹ × 457¹

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 64437

List of positive integer factors of 64437 that divides 64431 without a remainder.

1, 3, 47, 141, 457, 1371, 21479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64431 and 64437. The biggest common factor number is the GCF number.
So the greatest common factor 64431 and 64437 is 3.

Also check out the Least Common Multiple of 64431 and 64437