What is the Greatest Common Factor of 12610 and 12623?

Greatest common factor (GCF) of 12610 and 12623 is 13.

GCF(12610,12623) = 13

We will now calculate the prime factors of 12610 and 12623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12610 and 12623.

How to find the GCF of 12610 and 12623?

We will first find the prime factorization of 12610 and 12623. After we will calculate the factors of 12610 and 12623 and find the biggest common factor number .

Step-1: Prime Factorization of 12610

Prime factors of 12610 are 2, 5, 13, 97. Prime factorization of 12610 in exponential form is:

12610 = 2¹ × 5¹ × 13¹ × 97¹

Step-2: Prime Factorization of 12623

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

12623 = 13¹ × 971¹

Step-3: Factors of 12610

List of positive integer factors of 12610 that divides 12610 without a remainder.

1, 2, 5, 10, 13, 26, 65, 97, 130, 194, 485, 970, 1261, 2522, 6305

Step-4: Factors of 12623

List of positive integer factors of 12623 that divides 12610 without a remainder.

1, 13, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12610 and 12623. The biggest common factor number is the GCF number.
So the greatest common factor 12610 and 12623 is 13.

Also check out the Least Common Multiple of 12610 and 12623