What is the Greatest Common Factor of 11638 and 11657?

Greatest common factor (GCF) of 11638 and 11657 is 1.

GCF(11638,11657) = 1

We will now calculate the prime factors of 11638 and 11657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11638 and 11657.

How to find the GCF of 11638 and 11657?

We will first find the prime factorization of 11638 and 11657. After we will calculate the factors of 11638 and 11657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11657

Prime factors of 11657 are 11657. Prime factorization of 11657 in exponential form is:

11657 = 11657¹

Step-3: Factors of 11638

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

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

Step-4: Factors of 11657

List of positive integer factors of 11657 that divides 11638 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11638 and 11657. The biggest common factor number is the GCF number.
So the greatest common factor 11638 and 11657 is 1.

Also check out the Least Common Multiple of 11638 and 11657