What is the Greatest Common Factor of 15484 and 15499?

Greatest common factor (GCF) of 15484 and 15499 is 1.

GCF(15484,15499) = 1

We will now calculate the prime factors of 15484 and 15499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15484 and 15499.

How to find the GCF of 15484 and 15499?

We will first find the prime factorization of 15484 and 15499. After we will calculate the factors of 15484 and 15499 and find the biggest common factor number .

Step-1: Prime Factorization of 15484

Prime factors of 15484 are 2, 7, 79. Prime factorization of 15484 in exponential form is:

15484 = 2² × 7² × 79¹

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 15484

List of positive integer factors of 15484 that divides 15484 without a remainder.

1, 2, 4, 7, 14, 28, 49, 79, 98, 158, 196, 316, 553, 1106, 2212, 3871, 7742

Step-4: Factors of 15499

List of positive integer factors of 15499 that divides 15484 without a remainder.

1, 11, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15484 and 15499. The biggest common factor number is the GCF number.
So the greatest common factor 15484 and 15499 is 1.

Also check out the Least Common Multiple of 15484 and 15499