What is the Greatest Common Factor of 53484 and 53493?

Greatest common factor (GCF) of 53484 and 53493 is 3.

GCF(53484,53493) = 3

We will now calculate the prime factors of 53484 and 53493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53484 and 53493.

How to find the GCF of 53484 and 53493?

We will first find the prime factorization of 53484 and 53493. After we will calculate the factors of 53484 and 53493 and find the biggest common factor number .

Step-1: Prime Factorization of 53484

Prime factors of 53484 are 2, 3, 4457. Prime factorization of 53484 in exponential form is:

53484 = 2² × 3¹ × 4457¹

Step-2: Prime Factorization of 53493

Prime factors of 53493 are 3, 11, 1621. Prime factorization of 53493 in exponential form is:

53493 = 3¹ × 11¹ × 1621¹

Step-3: Factors of 53484

List of positive integer factors of 53484 that divides 53484 without a remainder.

1, 2, 3, 4, 6, 12, 4457, 8914, 13371, 17828, 26742

Step-4: Factors of 53493

List of positive integer factors of 53493 that divides 53484 without a remainder.

1, 3, 11, 33, 1621, 4863, 17831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53484 and 53493. The biggest common factor number is the GCF number.
So the greatest common factor 53484 and 53493 is 3.

Also check out the Least Common Multiple of 53484 and 53493