What is the Greatest Common Factor of 5493 and 5512?

Greatest common factor (GCF) of 5493 and 5512 is 1.

GCF(5493,5512) = 1

We will now calculate the prime factors of 5493 and 5512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5493 and 5512.

How to find the GCF of 5493 and 5512?

We will first find the prime factorization of 5493 and 5512. After we will calculate the factors of 5493 and 5512 and find the biggest common factor number .

Step-1: Prime Factorization of 5493

Prime factors of 5493 are 3, 1831. Prime factorization of 5493 in exponential form is:

5493 = 3¹ × 1831¹

Step-2: Prime Factorization of 5512

Prime factors of 5512 are 2, 13, 53. Prime factorization of 5512 in exponential form is:

5512 = 2³ × 13¹ × 53¹

Step-3: Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1, 3, 1831

Step-4: Factors of 5512

List of positive integer factors of 5512 that divides 5493 without a remainder.

1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5493 and 5512. The biggest common factor number is the GCF number.
So the greatest common factor 5493 and 5512 is 1.

Also check out the Least Common Multiple of 5493 and 5512