What is the Greatest Common Factor of 12629 and 12645?

Greatest common factor (GCF) of 12629 and 12645 is 1.

GCF(12629,12645) = 1

We will now calculate the prime factors of 12629 and 12645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12629 and 12645.

How to find the GCF of 12629 and 12645?

We will first find the prime factorization of 12629 and 12645. After we will calculate the factors of 12629 and 12645 and find the biggest common factor number .

Step-1: Prime Factorization of 12629

Prime factors of 12629 are 73, 173. Prime factorization of 12629 in exponential form is:

12629 = 73¹ × 173¹

Step-2: Prime Factorization of 12645

Prime factors of 12645 are 3, 5, 281. Prime factorization of 12645 in exponential form is:

12645 = 3² × 5¹ × 281¹

Step-3: Factors of 12629

List of positive integer factors of 12629 that divides 12629 without a remainder.

1, 73, 173

Step-4: Factors of 12645

List of positive integer factors of 12645 that divides 12629 without a remainder.

1, 3, 5, 9, 15, 45, 281, 843, 1405, 2529, 4215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12629 and 12645. The biggest common factor number is the GCF number.
So the greatest common factor 12629 and 12645 is 1.

Also check out the Least Common Multiple of 12629 and 12645