What is the Greatest Common Factor of 32882 and 32898?

Greatest common factor (GCF) of 32882 and 32898 is 2.

GCF(32882,32898) = 2

We will now calculate the prime factors of 32882 and 32898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32882 and 32898.

How to find the GCF of 32882 and 32898?

We will first find the prime factorization of 32882 and 32898. After we will calculate the factors of 32882 and 32898 and find the biggest common factor number .

Step-1: Prime Factorization of 32882

Prime factors of 32882 are 2, 41, 401. Prime factorization of 32882 in exponential form is:

32882 = 2¹ × 41¹ × 401¹

Step-2: Prime Factorization of 32898

Prime factors of 32898 are 2, 3, 5483. Prime factorization of 32898 in exponential form is:

32898 = 2¹ × 3¹ × 5483¹

Step-3: Factors of 32882

List of positive integer factors of 32882 that divides 32882 without a remainder.

1, 2, 41, 82, 401, 802, 16441

Step-4: Factors of 32898

List of positive integer factors of 32898 that divides 32882 without a remainder.

1, 2, 3, 6, 5483, 10966, 16449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32882 and 32898. The biggest common factor number is the GCF number.
So the greatest common factor 32882 and 32898 is 2.

Also check out the Least Common Multiple of 32882 and 32898