What is the Greatest Common Factor of 11487 and 11493?

Greatest common factor (GCF) of 11487 and 11493 is 3.

GCF(11487,11493) = 3

We will now calculate the prime factors of 11487 and 11493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11487 and 11493.

How to find the GCF of 11487 and 11493?

We will first find the prime factorization of 11487 and 11493. After we will calculate the factors of 11487 and 11493 and find the biggest common factor number .

Step-1: Prime Factorization of 11487

Prime factors of 11487 are 3, 7, 547. Prime factorization of 11487 in exponential form is:

11487 = 3¹ × 7¹ × 547¹

Step-2: Prime Factorization of 11493

Prime factors of 11493 are 3, 1277. Prime factorization of 11493 in exponential form is:

11493 = 3² × 1277¹

Step-3: Factors of 11487

List of positive integer factors of 11487 that divides 11487 without a remainder.

1, 3, 7, 21, 547, 1641, 3829

Step-4: Factors of 11493

List of positive integer factors of 11493 that divides 11487 without a remainder.

1, 3, 9, 1277, 3831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11487 and 11493. The biggest common factor number is the GCF number.
So the greatest common factor 11487 and 11493 is 3.

Also check out the Least Common Multiple of 11487 and 11493