What is the Greatest Common Factor of 32464 and 32471?

Greatest common factor (GCF) of 32464 and 32471 is 1.

GCF(32464,32471) = 1

We will now calculate the prime factors of 32464 and 32471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32464 and 32471.

How to find the GCF of 32464 and 32471?

We will first find the prime factorization of 32464 and 32471. After we will calculate the factors of 32464 and 32471 and find the biggest common factor number .

Step-1: Prime Factorization of 32464

Prime factors of 32464 are 2, 2029. Prime factorization of 32464 in exponential form is:

32464 = 2⁴ × 2029¹

Step-2: Prime Factorization of 32471

Prime factors of 32471 are 19, 1709. Prime factorization of 32471 in exponential form is:

32471 = 19¹ × 1709¹

Step-3: Factors of 32464

List of positive integer factors of 32464 that divides 32464 without a remainder.

1, 2, 4, 8, 16, 2029, 4058, 8116, 16232

Step-4: Factors of 32471

List of positive integer factors of 32471 that divides 32464 without a remainder.

1, 19, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32464 and 32471. The biggest common factor number is the GCF number.
So the greatest common factor 32464 and 32471 is 1.

Also check out the Least Common Multiple of 32464 and 32471