What is the Greatest Common Factor of 5504 and 5523?

Greatest common factor (GCF) of 5504 and 5523 is 1.

GCF(5504,5523) = 1

We will now calculate the prime factors of 5504 and 5523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5504 and 5523.

How to find the GCF of 5504 and 5523?

We will first find the prime factorization of 5504 and 5523. After we will calculate the factors of 5504 and 5523 and find the biggest common factor number .

Step-1: Prime Factorization of 5504

Prime factors of 5504 are 2, 43. Prime factorization of 5504 in exponential form is:

5504 = 2⁷ × 43¹

Step-2: Prime Factorization of 5523

Prime factors of 5523 are 3, 7, 263. Prime factorization of 5523 in exponential form is:

5523 = 3¹ × 7¹ × 263¹

Step-3: Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752

Step-4: Factors of 5523

List of positive integer factors of 5523 that divides 5504 without a remainder.

1, 3, 7, 21, 263, 789, 1841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5504 and 5523. The biggest common factor number is the GCF number.
So the greatest common factor 5504 and 5523 is 1.

Also check out the Least Common Multiple of 5504 and 5523