What is the Greatest Common Factor of 5491 and 5510?

Greatest common factor (GCF) of 5491 and 5510 is 19.

GCF(5491,5510) = 19

We will now calculate the prime factors of 5491 and 5510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5491 and 5510.

How to find the GCF of 5491 and 5510?

We will first find the prime factorization of 5491 and 5510. After we will calculate the factors of 5491 and 5510 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 5510

Prime factors of 5510 are 2, 5, 19, 29. Prime factorization of 5510 in exponential form is:

5510 = 2¹ × 5¹ × 19¹ × 29¹

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 5510

List of positive integer factors of 5510 that divides 5491 without a remainder.

1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5491 and 5510. The biggest common factor number is the GCF number.
So the greatest common factor 5491 and 5510 is 19.

Also check out the Least Common Multiple of 5491 and 5510