What is the Greatest Common Factor of 32091 and 32098?

Greatest common factor (GCF) of 32091 and 32098 is 1.

GCF(32091,32098) = 1

We will now calculate the prime factors of 32091 and 32098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32091 and 32098.

How to find the GCF of 32091 and 32098?

We will first find the prime factorization of 32091 and 32098. After we will calculate the factors of 32091 and 32098 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32098

Prime factors of 32098 are 2, 11, 1459. Prime factorization of 32098 in exponential form is:

32098 = 2¹ × 11¹ × 1459¹

Step-3: Factors of 32091

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

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

Step-4: Factors of 32098

List of positive integer factors of 32098 that divides 32091 without a remainder.

1, 2, 11, 22, 1459, 2918, 16049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32091 and 32098. The biggest common factor number is the GCF number.
So the greatest common factor 32091 and 32098 is 1.

Also check out the Least Common Multiple of 32091 and 32098