What is the Greatest Common Factor of 82404 and 82421?

Greatest common factor (GCF) of 82404 and 82421 is 1.

GCF(82404,82421) = 1

We will now calculate the prime factors of 82404 and 82421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82404 and 82421.

How to find the GCF of 82404 and 82421?

We will first find the prime factorization of 82404 and 82421. After we will calculate the factors of 82404 and 82421 and find the biggest common factor number .

Step-1: Prime Factorization of 82404

Prime factors of 82404 are 2, 3, 7, 109. Prime factorization of 82404 in exponential form is:

82404 = 2² × 3³ × 7¹ × 109¹

Step-2: Prime Factorization of 82421

Prime factors of 82421 are 82421. Prime factorization of 82421 in exponential form is:

82421 = 82421¹

Step-3: Factors of 82404

List of positive integer factors of 82404 that divides 82404 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 109, 126, 189, 218, 252, 327, 378, 436, 654, 756, 763, 981, 1308, 1526, 1962, 2289, 2943, 3052, 3924, 4578, 5886, 6867, 9156, 11772, 13734, 20601, 27468, 41202

Step-4: Factors of 82421

List of positive integer factors of 82421 that divides 82404 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82404 and 82421. The biggest common factor number is the GCF number.
So the greatest common factor 82404 and 82421 is 1.

Also check out the Least Common Multiple of 82404 and 82421