What is the Greatest Common Factor of 82629 and 82638?

Greatest common factor (GCF) of 82629 and 82638 is 9.

GCF(82629,82638) = 9

We will now calculate the prime factors of 82629 and 82638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82629 and 82638.

How to find the GCF of 82629 and 82638?

We will first find the prime factorization of 82629 and 82638. After we will calculate the factors of 82629 and 82638 and find the biggest common factor number .

Step-1: Prime Factorization of 82629

Prime factors of 82629 are 3, 9181. Prime factorization of 82629 in exponential form is:

82629 = 3² × 9181¹

Step-2: 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-3: Factors of 82629

List of positive integer factors of 82629 that divides 82629 without a remainder.

1, 3, 9, 9181, 27543

Step-4: Factors of 82638

List of positive integer factors of 82638 that divides 82629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82629 and 82638. The biggest common factor number is the GCF number.
So the greatest common factor 82629 and 82638 is 9.

Also check out the Least Common Multiple of 82629 and 82638