What is the Greatest Common Factor of 82409 and 82426?

Greatest common factor (GCF) of 82409 and 82426 is 1.

GCF(82409,82426) = 1

We will now calculate the prime factors of 82409 and 82426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82409 and 82426.

How to find the GCF of 82409 and 82426?

We will first find the prime factorization of 82409 and 82426. After we will calculate the factors of 82409 and 82426 and find the biggest common factor number .

Step-1: Prime Factorization of 82409

Prime factors of 82409 are 23, 3583. Prime factorization of 82409 in exponential form is:

82409 = 23¹ × 3583¹

Step-2: Prime Factorization of 82426

Prime factors of 82426 are 2, 41213. Prime factorization of 82426 in exponential form is:

82426 = 2¹ × 41213¹

Step-3: Factors of 82409

List of positive integer factors of 82409 that divides 82409 without a remainder.

1, 23, 3583

Step-4: Factors of 82426

List of positive integer factors of 82426 that divides 82409 without a remainder.

1, 2, 41213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82409 and 82426. The biggest common factor number is the GCF number.
So the greatest common factor 82409 and 82426 is 1.

Also check out the Least Common Multiple of 82409 and 82426