What is the Greatest Common Factor of 32073 and 32091?

Greatest common factor (GCF) of 32073 and 32091 is 3.

GCF(32073,32091) = 3

We will now calculate the prime factors of 32073 and 32091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32073 and 32091.

How to find the GCF of 32073 and 32091?

We will first find the prime factorization of 32073 and 32091. After we will calculate the factors of 32073 and 32091 and find the biggest common factor number .

Step-1: Prime Factorization of 32073

Prime factors of 32073 are 3, 10691. Prime factorization of 32073 in exponential form is:

32073 = 3¹ × 10691¹

Step-2: Prime Factorization of 32091

Prime factors of 32091 are 3, 19, 563. Prime factorization of 32091 in exponential form is:

32091 = 3¹ × 19¹ × 563¹

Step-3: Factors of 32073

List of positive integer factors of 32073 that divides 32073 without a remainder.

1, 3, 10691

Step-4: Factors of 32091

List of positive integer factors of 32091 that divides 32073 without a remainder.

1, 3, 19, 57, 563, 1689, 10697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32073 and 32091. The biggest common factor number is the GCF number.
So the greatest common factor 32073 and 32091 is 3.

Also check out the Least Common Multiple of 32073 and 32091