What is the Greatest Common Factor of 82816 and 82820?

Greatest common factor (GCF) of 82816 and 82820 is 4.

GCF(82816,82820) = 4

We will now calculate the prime factors of 82816 and 82820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82816 and 82820.

How to find the GCF of 82816 and 82820?

We will first find the prime factorization of 82816 and 82820. After we will calculate the factors of 82816 and 82820 and find the biggest common factor number .

Step-1: Prime Factorization of 82816

Prime factors of 82816 are 2, 647. Prime factorization of 82816 in exponential form is:

82816 = 2⁷ × 647¹

Step-2: Prime Factorization of 82820

Prime factors of 82820 are 2, 5, 41, 101. Prime factorization of 82820 in exponential form is:

82820 = 2² × 5¹ × 41¹ × 101¹

Step-3: Factors of 82816

List of positive integer factors of 82816 that divides 82816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 647, 1294, 2588, 5176, 10352, 20704, 41408

Step-4: Factors of 82820

List of positive integer factors of 82820 that divides 82816 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 101, 164, 202, 205, 404, 410, 505, 820, 1010, 2020, 4141, 8282, 16564, 20705, 41410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82816 and 82820. The biggest common factor number is the GCF number.
So the greatest common factor 82816 and 82820 is 4.

Also check out the Least Common Multiple of 82816 and 82820