What is the Greatest Common Factor of 15438 and 15453?

Greatest common factor (GCF) of 15438 and 15453 is 3.

GCF(15438,15453) = 3

We will now calculate the prime factors of 15438 and 15453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15438 and 15453.

How to find the GCF of 15438 and 15453?

We will first find the prime factorization of 15438 and 15453. After we will calculate the factors of 15438 and 15453 and find the biggest common factor number .

Step-1: Prime Factorization of 15438

Prime factors of 15438 are 2, 3, 31, 83. Prime factorization of 15438 in exponential form is:

15438 = 2¹ × 3¹ × 31¹ × 83¹

Step-2: Prime Factorization of 15453

Prime factors of 15453 are 3, 17, 101. Prime factorization of 15453 in exponential form is:

15453 = 3² × 17¹ × 101¹

Step-3: Factors of 15438

List of positive integer factors of 15438 that divides 15438 without a remainder.

1, 2, 3, 6, 31, 62, 83, 93, 166, 186, 249, 498, 2573, 5146, 7719

Step-4: Factors of 15453

List of positive integer factors of 15453 that divides 15438 without a remainder.

1, 3, 9, 17, 51, 101, 153, 303, 909, 1717, 5151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15438 and 15453. The biggest common factor number is the GCF number.
So the greatest common factor 15438 and 15453 is 3.

Also check out the Least Common Multiple of 15438 and 15453