What is the Greatest Common Factor of 82825 and 82836?

Greatest common factor (GCF) of 82825 and 82836 is 1.

GCF(82825,82836) = 1

We will now calculate the prime factors of 82825 and 82836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82825 and 82836.

How to find the GCF of 82825 and 82836?

We will first find the prime factorization of 82825 and 82836. After we will calculate the factors of 82825 and 82836 and find the biggest common factor number .

Step-1: Prime Factorization of 82825

Prime factors of 82825 are 5, 3313. Prime factorization of 82825 in exponential form is:

82825 = 5² × 3313¹

Step-2: Prime Factorization of 82836

Prime factors of 82836 are 2, 3, 13, 59. Prime factorization of 82836 in exponential form is:

82836 = 2² × 3³ × 13¹ × 59¹

Step-3: Factors of 82825

List of positive integer factors of 82825 that divides 82825 without a remainder.

1, 5, 25, 3313, 16565

Step-4: Factors of 82836

List of positive integer factors of 82836 that divides 82825 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 59, 78, 108, 117, 118, 156, 177, 234, 236, 351, 354, 468, 531, 702, 708, 767, 1062, 1404, 1534, 1593, 2124, 2301, 3068, 3186, 4602, 6372, 6903, 9204, 13806, 20709, 27612, 41418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82825 and 82836. The biggest common factor number is the GCF number.
So the greatest common factor 82825 and 82836 is 1.

Also check out the Least Common Multiple of 82825 and 82836