What is the Greatest Common Factor of 32823 and 32837?

Greatest common factor (GCF) of 32823 and 32837 is 7.

GCF(32823,32837) = 7

We will now calculate the prime factors of 32823 and 32837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32823 and 32837.

How to find the GCF of 32823 and 32837?

We will first find the prime factorization of 32823 and 32837. After we will calculate the factors of 32823 and 32837 and find the biggest common factor number .

Step-1: Prime Factorization of 32823

Prime factors of 32823 are 3, 7, 521. Prime factorization of 32823 in exponential form is:

32823 = 3² × 7¹ × 521¹

Step-2: Prime Factorization of 32837

Prime factors of 32837 are 7, 4691. Prime factorization of 32837 in exponential form is:

32837 = 7¹ × 4691¹

Step-3: Factors of 32823

List of positive integer factors of 32823 that divides 32823 without a remainder.

1, 3, 7, 9, 21, 63, 521, 1563, 3647, 4689, 10941

Step-4: Factors of 32837

List of positive integer factors of 32837 that divides 32823 without a remainder.

1, 7, 4691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32823 and 32837. The biggest common factor number is the GCF number.
So the greatest common factor 32823 and 32837 is 7.

Also check out the Least Common Multiple of 32823 and 32837