What is the Greatest Common Factor of 11627 and 11638?

Greatest common factor (GCF) of 11627 and 11638 is 11.

GCF(11627,11638) = 11

We will now calculate the prime factors of 11627 and 11638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11627 and 11638.

How to find the GCF of 11627 and 11638?

We will first find the prime factorization of 11627 and 11638. After we will calculate the factors of 11627 and 11638 and find the biggest common factor number .

Step-1: Prime Factorization of 11627

Prime factors of 11627 are 7, 11, 151. Prime factorization of 11627 in exponential form is:

11627 = 7¹ × 11¹ × 151¹

Step-2: Prime Factorization of 11638

Prime factors of 11638 are 2, 11, 23. Prime factorization of 11638 in exponential form is:

11638 = 2¹ × 11¹ × 23²

Step-3: Factors of 11627

List of positive integer factors of 11627 that divides 11627 without a remainder.

1, 7, 11, 77, 151, 1057, 1661

Step-4: Factors of 11638

List of positive integer factors of 11638 that divides 11627 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506, 529, 1058, 5819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11627 and 11638. The biggest common factor number is the GCF number.
So the greatest common factor 11627 and 11638 is 11.

Also check out the Least Common Multiple of 11627 and 11638