What is the Greatest Common Factor of 12635 and 12643?

Greatest common factor (GCF) of 12635 and 12643 is 1.

GCF(12635,12643) = 1

We will now calculate the prime factors of 12635 and 12643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12635 and 12643.

How to find the GCF of 12635 and 12643?

We will first find the prime factorization of 12635 and 12643. After we will calculate the factors of 12635 and 12643 and find the biggest common factor number .

Step-1: Prime Factorization of 12635

Prime factors of 12635 are 5, 7, 19. Prime factorization of 12635 in exponential form is:

12635 = 5¹ × 7¹ × 19²

Step-2: Prime Factorization of 12643

Prime factors of 12643 are 47, 269. Prime factorization of 12643 in exponential form is:

12643 = 47¹ × 269¹

Step-3: Factors of 12635

List of positive integer factors of 12635 that divides 12635 without a remainder.

1, 5, 7, 19, 35, 95, 133, 361, 665, 1805, 2527

Step-4: Factors of 12643

List of positive integer factors of 12643 that divides 12635 without a remainder.

1, 47, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12635 and 12643. The biggest common factor number is the GCF number.
So the greatest common factor 12635 and 12643 is 1.

Also check out the Least Common Multiple of 12635 and 12643