What is the Greatest Common Factor of 15483 and 15495?

Greatest common factor (GCF) of 15483 and 15495 is 3.

GCF(15483,15495) = 3

We will now calculate the prime factors of 15483 and 15495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15483 and 15495.

How to find the GCF of 15483 and 15495?

We will first find the prime factorization of 15483 and 15495. After we will calculate the factors of 15483 and 15495 and find the biggest common factor number .

Step-1: Prime Factorization of 15483

Prime factors of 15483 are 3, 13, 397. Prime factorization of 15483 in exponential form is:

15483 = 3¹ × 13¹ × 397¹

Step-2: Prime Factorization of 15495

Prime factors of 15495 are 3, 5, 1033. Prime factorization of 15495 in exponential form is:

15495 = 3¹ × 5¹ × 1033¹

Step-3: Factors of 15483

List of positive integer factors of 15483 that divides 15483 without a remainder.

1, 3, 13, 39, 397, 1191, 5161

Step-4: Factors of 15495

List of positive integer factors of 15495 that divides 15483 without a remainder.

1, 3, 5, 15, 1033, 3099, 5165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15483 and 15495. The biggest common factor number is the GCF number.
So the greatest common factor 15483 and 15495 is 3.

Also check out the Least Common Multiple of 15483 and 15495