What is the Greatest Common Factor of 82629 and 82647?

Greatest common factor (GCF) of 82629 and 82647 is 9.

GCF(82629,82647) = 9

We will now calculate the prime factors of 82629 and 82647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82629 and 82647.

How to find the GCF of 82629 and 82647?

We will first find the prime factorization of 82629 and 82647. After we will calculate the factors of 82629 and 82647 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 82647

Prime factors of 82647 are 3, 3061. Prime factorization of 82647 in exponential form is:

82647 = 3³ × 3061¹

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 82647

List of positive integer factors of 82647 that divides 82629 without a remainder.

1, 3, 9, 27, 3061, 9183, 27549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82629 and 82647. The biggest common factor number is the GCF number.
So the greatest common factor 82629 and 82647 is 9.

Also check out the Least Common Multiple of 82629 and 82647