What is the Greatest Common Factor of 32820 and 32835?

Greatest common factor (GCF) of 32820 and 32835 is 15.

GCF(32820,32835) = 15

We will now calculate the prime factors of 32820 and 32835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32820 and 32835.

How to find the GCF of 32820 and 32835?

We will first find the prime factorization of 32820 and 32835. After we will calculate the factors of 32820 and 32835 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 32835

Prime factors of 32835 are 3, 5, 11, 199. Prime factorization of 32835 in exponential form is:

32835 = 3¹ × 5¹ × 11¹ × 199¹

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 32835

List of positive integer factors of 32835 that divides 32820 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 199, 597, 995, 2189, 2985, 6567, 10945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32820 and 32835. The biggest common factor number is the GCF number.
So the greatest common factor 32820 and 32835 is 15.

Also check out the Least Common Multiple of 32820 and 32835