What is the Greatest Common Factor of 12638 and 12644?

Greatest common factor (GCF) of 12638 and 12644 is 2.

GCF(12638,12644) = 2

We will now calculate the prime factors of 12638 and 12644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12638 and 12644.

How to find the GCF of 12638 and 12644?

We will first find the prime factorization of 12638 and 12644. After we will calculate the factors of 12638 and 12644 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 12644

Prime factors of 12644 are 2, 29, 109. Prime factorization of 12644 in exponential form is:

12644 = 2² × 29¹ × 109¹

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 12644

List of positive integer factors of 12644 that divides 12638 without a remainder.

1, 2, 4, 29, 58, 109, 116, 218, 436, 3161, 6322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12638 and 12644. The biggest common factor number is the GCF number.
So the greatest common factor 12638 and 12644 is 2.

Also check out the Least Common Multiple of 12638 and 12644