What is the Greatest Common Factor of 15491 and 15497?

Greatest common factor (GCF) of 15491 and 15497 is 1.

GCF(15491,15497) = 1

We will now calculate the prime factors of 15491 and 15497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15491 and 15497.

How to find the GCF of 15491 and 15497?

We will first find the prime factorization of 15491 and 15497. After we will calculate the factors of 15491 and 15497 and find the biggest common factor number .

Step-1: Prime Factorization of 15491

Prime factors of 15491 are 7, 2213. Prime factorization of 15491 in exponential form is:

15491 = 7¹ × 2213¹

Step-2: Prime Factorization of 15497

Prime factors of 15497 are 15497. Prime factorization of 15497 in exponential form is:

15497 = 15497¹

Step-3: Factors of 15491

List of positive integer factors of 15491 that divides 15491 without a remainder.

1, 7, 2213

Step-4: Factors of 15497

List of positive integer factors of 15497 that divides 15491 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15491 and 15497. The biggest common factor number is the GCF number.
So the greatest common factor 15491 and 15497 is 1.

Also check out the Least Common Multiple of 15491 and 15497