What is the Greatest Common Factor of 11638 and 11653?

Greatest common factor (GCF) of 11638 and 11653 is 1.

GCF(11638,11653) = 1

We will now calculate the prime factors of 11638 and 11653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11638 and 11653.

How to find the GCF of 11638 and 11653?

We will first find the prime factorization of 11638 and 11653. After we will calculate the factors of 11638 and 11653 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 11653

Prime factors of 11653 are 43, 271. Prime factorization of 11653 in exponential form is:

11653 = 43¹ × 271¹

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 11653

List of positive integer factors of 11653 that divides 11638 without a remainder.

1, 43, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11638 and 11653. The biggest common factor number is the GCF number.
So the greatest common factor 11638 and 11653 is 1.

Also check out the Least Common Multiple of 11638 and 11653