What is the Greatest Common Factor of 32820 and 32830?

Greatest common factor (GCF) of 32820 and 32830 is 10.

GCF(32820,32830) = 10

We will now calculate the prime factors of 32820 and 32830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32820 and 32830.

How to find the GCF of 32820 and 32830?

We will first find the prime factorization of 32820 and 32830. After we will calculate the factors of 32820 and 32830 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 32830

Prime factors of 32830 are 2, 5, 7, 67. Prime factorization of 32830 in exponential form is:

32830 = 2¹ × 5¹ × 7² × 67¹

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 32830

List of positive integer factors of 32830 that divides 32820 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 67, 70, 98, 134, 245, 335, 469, 490, 670, 938, 2345, 3283, 4690, 6566, 16415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32820 and 32830. The biggest common factor number is the GCF number.
So the greatest common factor 32820 and 32830 is 10.

Also check out the Least Common Multiple of 32820 and 32830