What is the Greatest Common Factor of 82638 and 82646?

Greatest common factor (GCF) of 82638 and 82646 is 2.

GCF(82638,82646) = 2

We will now calculate the prime factors of 82638 and 82646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82638 and 82646.

How to find the GCF of 82638 and 82646?

We will first find the prime factorization of 82638 and 82646. After we will calculate the factors of 82638 and 82646 and find the biggest common factor number .

Step-1: Prime Factorization of 82638

Prime factors of 82638 are 2, 3, 4591. Prime factorization of 82638 in exponential form is:

82638 = 2¹ × 3² × 4591¹

Step-2: Prime Factorization of 82646

Prime factors of 82646 are 2, 31, 43. Prime factorization of 82646 in exponential form is:

82646 = 2¹ × 31² × 43¹

Step-3: Factors of 82638

List of positive integer factors of 82638 that divides 82638 without a remainder.

1, 2, 3, 6, 9, 18, 4591, 9182, 13773, 27546, 41319

Step-4: Factors of 82646

List of positive integer factors of 82646 that divides 82638 without a remainder.

1, 2, 31, 43, 62, 86, 961, 1333, 1922, 2666, 41323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82638 and 82646. The biggest common factor number is the GCF number.
So the greatest common factor 82638 and 82646 is 2.

Also check out the Least Common Multiple of 82638 and 82646