What is the Greatest Common Factor of 12638 and 12653?

Greatest common factor (GCF) of 12638 and 12653 is 1.

GCF(12638,12653) = 1

We will now calculate the prime factors of 12638 and 12653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12638 and 12653.

How to find the GCF of 12638 and 12653?

We will first find the prime factorization of 12638 and 12653. After we will calculate the factors of 12638 and 12653 and find the biggest common factor number .

Step-1: Prime Factorization of 12638

Prime factors of 12638 are 2, 71, 89. Prime factorization of 12638 in exponential form is:

12638 = 2¹ × 71¹ × 89¹

Step-2: Prime Factorization of 12653

Prime factors of 12653 are 12653. Prime factorization of 12653 in exponential form is:

12653 = 12653¹

Step-3: Factors of 12638

List of positive integer factors of 12638 that divides 12638 without a remainder.

1, 2, 71, 89, 142, 178, 6319

Step-4: Factors of 12653

List of positive integer factors of 12653 that divides 12638 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12638 and 12653. The biggest common factor number is the GCF number.
So the greatest common factor 12638 and 12653 is 1.

Also check out the Least Common Multiple of 12638 and 12653