What is the Greatest Common Factor of 82674 and 82679?

Greatest common factor (GCF) of 82674 and 82679 is 1.

GCF(82674,82679) = 1

We will now calculate the prime factors of 82674 and 82679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82674 and 82679.

How to find the GCF of 82674 and 82679?

We will first find the prime factorization of 82674 and 82679. After we will calculate the factors of 82674 and 82679 and find the biggest common factor number .

Step-1: Prime Factorization of 82674

Prime factors of 82674 are 2, 3, 1531. Prime factorization of 82674 in exponential form is:

82674 = 2¹ × 3³ × 1531¹

Step-2: Prime Factorization of 82679

Prime factors of 82679 are 29, 2851. Prime factorization of 82679 in exponential form is:

82679 = 29¹ × 2851¹

Step-3: Factors of 82674

List of positive integer factors of 82674 that divides 82674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1531, 3062, 4593, 9186, 13779, 27558, 41337

Step-4: Factors of 82679

List of positive integer factors of 82679 that divides 82674 without a remainder.

1, 29, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82674 and 82679. The biggest common factor number is the GCF number.
So the greatest common factor 82674 and 82679 is 1.

Also check out the Least Common Multiple of 82674 and 82679