What is the Greatest Common Factor of 15504 and 15523?

Greatest common factor (GCF) of 15504 and 15523 is 19.

GCF(15504,15523) = 19

We will now calculate the prime factors of 15504 and 15523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15504 and 15523.

How to find the GCF of 15504 and 15523?

We will first find the prime factorization of 15504 and 15523. After we will calculate the factors of 15504 and 15523 and find the biggest common factor number .

Step-1: Prime Factorization of 15504

Prime factors of 15504 are 2, 3, 17, 19. Prime factorization of 15504 in exponential form is:

15504 = 2⁴ × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 15523

Prime factors of 15523 are 19, 43. Prime factorization of 15523 in exponential form is:

15523 = 19² × 43¹

Step-3: Factors of 15504

List of positive integer factors of 15504 that divides 15504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 19, 24, 34, 38, 48, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 272, 304, 323, 408, 456, 646, 816, 912, 969, 1292, 1938, 2584, 3876, 5168, 7752

Step-4: Factors of 15523

List of positive integer factors of 15523 that divides 15504 without a remainder.

1, 19, 43, 361, 817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15504 and 15523. The biggest common factor number is the GCF number.
So the greatest common factor 15504 and 15523 is 19.

Also check out the Least Common Multiple of 15504 and 15523