What is the Greatest Common Factor of 15488 and 15499?

Greatest common factor (GCF) of 15488 and 15499 is 11.

GCF(15488,15499) = 11

We will now calculate the prime factors of 15488 and 15499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15488 and 15499.

How to find the GCF of 15488 and 15499?

We will first find the prime factorization of 15488 and 15499. After we will calculate the factors of 15488 and 15499 and find the biggest common factor number .

Step-1: Prime Factorization of 15488

Prime factors of 15488 are 2, 11. Prime factorization of 15488 in exponential form is:

15488 = 2⁷ × 11²

Step-2: Prime Factorization of 15499

Prime factors of 15499 are 11, 1409. Prime factorization of 15499 in exponential form is:

15499 = 11¹ × 1409¹

Step-3: Factors of 15488

List of positive integer factors of 15488 that divides 15488 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 352, 484, 704, 968, 1408, 1936, 3872, 7744

Step-4: Factors of 15499

List of positive integer factors of 15499 that divides 15488 without a remainder.

1, 11, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15488 and 15499. The biggest common factor number is the GCF number.
So the greatest common factor 15488 and 15499 is 11.

Also check out the Least Common Multiple of 15488 and 15499