What is the Greatest Common Factor of 15488 and 15503?

Greatest common factor (GCF) of 15488 and 15503 is 1.

GCF(15488,15503) = 1

We will now calculate the prime factors of 15488 and 15503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15488 and 15503.

How to find the GCF of 15488 and 15503?

We will first find the prime factorization of 15488 and 15503. After we will calculate the factors of 15488 and 15503 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 15503

Prime factors of 15503 are 37, 419. Prime factorization of 15503 in exponential form is:

15503 = 37¹ × 419¹

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 15503

List of positive integer factors of 15503 that divides 15488 without a remainder.

1, 37, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15488 and 15503. The biggest common factor number is the GCF number.
So the greatest common factor 15488 and 15503 is 1.

Also check out the Least Common Multiple of 15488 and 15503