What is the Greatest Common Factor of 15631 and 15638?

Greatest common factor (GCF) of 15631 and 15638 is 7.

GCF(15631,15638) = 7

We will now calculate the prime factors of 15631 and 15638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15631 and 15638.

How to find the GCF of 15631 and 15638?

We will first find the prime factorization of 15631 and 15638. After we will calculate the factors of 15631 and 15638 and find the biggest common factor number .

Step-1: Prime Factorization of 15631

Prime factors of 15631 are 7, 11, 29. Prime factorization of 15631 in exponential form is:

15631 = 7² × 11¹ × 29¹

Step-2: Prime Factorization of 15638

Prime factors of 15638 are 2, 7, 1117. Prime factorization of 15638 in exponential form is:

15638 = 2¹ × 7¹ × 1117¹

Step-3: Factors of 15631

List of positive integer factors of 15631 that divides 15631 without a remainder.

1, 7, 11, 29, 49, 77, 203, 319, 539, 1421, 2233

Step-4: Factors of 15638

List of positive integer factors of 15638 that divides 15631 without a remainder.

1, 2, 7, 14, 1117, 2234, 7819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15631 and 15638. The biggest common factor number is the GCF number.
So the greatest common factor 15631 and 15638 is 7.

Also check out the Least Common Multiple of 15631 and 15638