What is the Greatest Common Factor of 32847 and 32862?

Greatest common factor (GCF) of 32847 and 32862 is 3.

GCF(32847,32862) = 3

We will now calculate the prime factors of 32847 and 32862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32847 and 32862.

How to find the GCF of 32847 and 32862?

We will first find the prime factorization of 32847 and 32862. After we will calculate the factors of 32847 and 32862 and find the biggest common factor number .

Step-1: Prime Factorization of 32847

Prime factors of 32847 are 3, 10949. Prime factorization of 32847 in exponential form is:

32847 = 3¹ × 10949¹

Step-2: Prime Factorization of 32862

Prime factors of 32862 are 2, 3, 5477. Prime factorization of 32862 in exponential form is:

32862 = 2¹ × 3¹ × 5477¹

Step-3: Factors of 32847

List of positive integer factors of 32847 that divides 32847 without a remainder.

1, 3, 10949

Step-4: Factors of 32862

List of positive integer factors of 32862 that divides 32847 without a remainder.

1, 2, 3, 6, 5477, 10954, 16431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32847 and 32862. The biggest common factor number is the GCF number.
So the greatest common factor 32847 and 32862 is 3.

Also check out the Least Common Multiple of 32847 and 32862