What is the Greatest Common Factor of 12623 and 12629?

Greatest common factor (GCF) of 12623 and 12629 is 1.

GCF(12623,12629) = 1

We will now calculate the prime factors of 12623 and 12629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12623 and 12629.

How to find the GCF of 12623 and 12629?

We will first find the prime factorization of 12623 and 12629. After we will calculate the factors of 12623 and 12629 and find the biggest common factor number .

Step-1: Prime Factorization of 12623

Prime factors of 12623 are 13, 971. Prime factorization of 12623 in exponential form is:

12623 = 13¹ × 971¹

Step-2: Prime Factorization of 12629

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

12629 = 73¹ × 173¹

Step-3: Factors of 12623

List of positive integer factors of 12623 that divides 12623 without a remainder.

1, 13, 971

Step-4: Factors of 12629

List of positive integer factors of 12629 that divides 12623 without a remainder.

1, 73, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12623 and 12629. The biggest common factor number is the GCF number.
So the greatest common factor 12623 and 12629 is 1.

Also check out the Least Common Multiple of 12623 and 12629