What is the Greatest Common Factor of 5488 and 5507?

Greatest common factor (GCF) of 5488 and 5507 is 1.

GCF(5488,5507) = 1

We will now calculate the prime factors of 5488 and 5507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5488 and 5507.

How to find the GCF of 5488 and 5507?

We will first find the prime factorization of 5488 and 5507. After we will calculate the factors of 5488 and 5507 and find the biggest common factor number .

Step-1: Prime Factorization of 5488

Prime factors of 5488 are 2, 7. Prime factorization of 5488 in exponential form is:

5488 = 2⁴ × 7³

Step-2: Prime Factorization of 5507

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 5507¹

Step-3: Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744

Step-4: Factors of 5507

List of positive integer factors of 5507 that divides 5488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5488 and 5507. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5507 is 1.

Also check out the Least Common Multiple of 5488 and 5507