What is the Greatest Common Factor of 5491 and 5509?

Greatest common factor (GCF) of 5491 and 5509 is 1.

GCF(5491,5509) = 1

We will now calculate the prime factors of 5491 and 5509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5491 and 5509.

How to find the GCF of 5491 and 5509?

We will first find the prime factorization of 5491 and 5509. After we will calculate the factors of 5491 and 5509 and find the biggest common factor number .

Step-1: Prime Factorization of 5491

Prime factors of 5491 are 17, 19. Prime factorization of 5491 in exponential form is:

5491 = 17² × 19¹

Step-2: Prime Factorization of 5509

Prime factors of 5509 are 7, 787. Prime factorization of 5509 in exponential form is:

5509 = 7¹ × 787¹

Step-3: Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1, 17, 19, 289, 323

Step-4: Factors of 5509

List of positive integer factors of 5509 that divides 5491 without a remainder.

1, 7, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5491 and 5509. The biggest common factor number is the GCF number.
So the greatest common factor 5491 and 5509 is 1.

Also check out the Least Common Multiple of 5491 and 5509