What is the Greatest Common Factor of 32459 and 32473?

Greatest common factor (GCF) of 32459 and 32473 is 7.

GCF(32459,32473) = 7

We will now calculate the prime factors of 32459 and 32473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32459 and 32473.

How to find the GCF of 32459 and 32473?

We will first find the prime factorization of 32459 and 32473. After we will calculate the factors of 32459 and 32473 and find the biggest common factor number .

Step-1: Prime Factorization of 32459

Prime factors of 32459 are 7, 4637. Prime factorization of 32459 in exponential form is:

32459 = 7¹ × 4637¹

Step-2: Prime Factorization of 32473

Prime factors of 32473 are 7, 4639. Prime factorization of 32473 in exponential form is:

32473 = 7¹ × 4639¹

Step-3: Factors of 32459

List of positive integer factors of 32459 that divides 32459 without a remainder.

1, 7, 4637

Step-4: Factors of 32473

List of positive integer factors of 32473 that divides 32459 without a remainder.

1, 7, 4639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32459 and 32473. The biggest common factor number is the GCF number.
So the greatest common factor 32459 and 32473 is 7.

Also check out the Least Common Multiple of 32459 and 32473