What is the Greatest Common Factor of 82629 and 82644?

Greatest common factor (GCF) of 82629 and 82644 is 3.

GCF(82629,82644) = 3

We will now calculate the prime factors of 82629 and 82644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82629 and 82644.

How to find the GCF of 82629 and 82644?

We will first find the prime factorization of 82629 and 82644. After we will calculate the factors of 82629 and 82644 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 82644

Prime factors of 82644 are 2, 3, 71, 97. Prime factorization of 82644 in exponential form is:

82644 = 2² × 3¹ × 71¹ × 97¹

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 82644

List of positive integer factors of 82644 that divides 82629 without a remainder.

1, 2, 3, 4, 6, 12, 71, 97, 142, 194, 213, 284, 291, 388, 426, 582, 852, 1164, 6887, 13774, 20661, 27548, 41322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82629 and 82644. The biggest common factor number is the GCF number.
So the greatest common factor 82629 and 82644 is 3.

Also check out the Least Common Multiple of 82629 and 82644