What is the Greatest Common Factor of 32820 and 32836?

Greatest common factor (GCF) of 32820 and 32836 is 4.

GCF(32820,32836) = 4

We will now calculate the prime factors of 32820 and 32836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32820 and 32836.

How to find the GCF of 32820 and 32836?

We will first find the prime factorization of 32820 and 32836. After we will calculate the factors of 32820 and 32836 and find the biggest common factor number .

Step-1: Prime Factorization of 32820

Prime factors of 32820 are 2, 3, 5, 547. Prime factorization of 32820 in exponential form is:

32820 = 2² × 3¹ × 5¹ × 547¹

Step-2: Prime Factorization of 32836

Prime factors of 32836 are 2, 8209. Prime factorization of 32836 in exponential form is:

32836 = 2² × 8209¹

Step-3: Factors of 32820

List of positive integer factors of 32820 that divides 32820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 547, 1094, 1641, 2188, 2735, 3282, 5470, 6564, 8205, 10940, 16410

Step-4: Factors of 32836

List of positive integer factors of 32836 that divides 32820 without a remainder.

1, 2, 4, 8209, 16418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32820 and 32836. The biggest common factor number is the GCF number.
So the greatest common factor 32820 and 32836 is 4.

Also check out the Least Common Multiple of 32820 and 32836