What is the Greatest Common Factor of 82820 and 82835?

Greatest common factor (GCF) of 82820 and 82835 is 5.

GCF(82820,82835) = 5

We will now calculate the prime factors of 82820 and 82835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82820 and 82835.

How to find the GCF of 82820 and 82835?

We will first find the prime factorization of 82820 and 82835. After we will calculate the factors of 82820 and 82835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82835

Prime factors of 82835 are 5, 16567. Prime factorization of 82835 in exponential form is:

82835 = 5¹ × 16567¹

Step-3: Factors of 82820

List of positive integer factors of 82820 that divides 82820 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

Step-4: Factors of 82835

List of positive integer factors of 82835 that divides 82820 without a remainder.

1, 5, 16567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82820 and 82835. The biggest common factor number is the GCF number.
So the greatest common factor 82820 and 82835 is 5.

Also check out the Least Common Multiple of 82820 and 82835