What is the Greatest Common Factor of 32705 and 32723?

Greatest common factor (GCF) of 32705 and 32723 is 1.

GCF(32705,32723) = 1

We will now calculate the prime factors of 32705 and 32723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32705 and 32723.

How to find the GCF of 32705 and 32723?

We will first find the prime factorization of 32705 and 32723. After we will calculate the factors of 32705 and 32723 and find the biggest common factor number .

Step-1: Prime Factorization of 32705

Prime factors of 32705 are 5, 31, 211. Prime factorization of 32705 in exponential form is:

32705 = 5¹ × 31¹ × 211¹

Step-2: Prime Factorization of 32723

Prime factors of 32723 are 43, 761. Prime factorization of 32723 in exponential form is:

32723 = 43¹ × 761¹

Step-3: Factors of 32705

List of positive integer factors of 32705 that divides 32705 without a remainder.

1, 5, 31, 155, 211, 1055, 6541

Step-4: Factors of 32723

List of positive integer factors of 32723 that divides 32705 without a remainder.

1, 43, 761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32705 and 32723. The biggest common factor number is the GCF number.
So the greatest common factor 32705 and 32723 is 1.

Also check out the Least Common Multiple of 32705 and 32723