What is the Greatest Common Factor of 82620 and 82629?

Greatest common factor (GCF) of 82620 and 82629 is 9.

GCF(82620,82629) = 9

We will now calculate the prime factors of 82620 and 82629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82620 and 82629.

How to find the GCF of 82620 and 82629?

We will first find the prime factorization of 82620 and 82629. After we will calculate the factors of 82620 and 82629 and find the biggest common factor number .

Step-1: Prime Factorization of 82620

Prime factors of 82620 are 2, 3, 5, 17. Prime factorization of 82620 in exponential form is:

82620 = 2² × 3⁵ × 5¹ × 17¹

Step-2: Prime Factorization of 82629

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

82629 = 3² × 9181¹

Step-3: Factors of 82620

List of positive integer factors of 82620 that divides 82620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 81, 85, 90, 102, 108, 135, 153, 162, 170, 180, 204, 243, 255, 270, 306, 324, 340, 405, 459, 486, 510, 540, 612, 765, 810, 918, 972, 1020, 1215, 1377, 1530, 1620, 1836, 2295, 2430, 2754, 3060, 4131, 4590, 4860, 5508, 6885, 8262, 9180, 13770, 16524, 20655, 27540, 41310

Step-4: Factors of 82629

List of positive integer factors of 82629 that divides 82620 without a remainder.

1, 3, 9, 9181, 27543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82620 and 82629. The biggest common factor number is the GCF number.
So the greatest common factor 82620 and 82629 is 9.

Also check out the Least Common Multiple of 82620 and 82629