What is the Greatest Common Factor of 18471 and 18489?

Greatest common factor (GCF) of 18471 and 18489 is 3.

GCF(18471,18489) = 3

We will now calculate the prime factors of 18471 and 18489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18471 and 18489.

How to find the GCF of 18471 and 18489?

We will first find the prime factorization of 18471 and 18489. After we will calculate the factors of 18471 and 18489 and find the biggest common factor number .

Step-1: Prime Factorization of 18471

Prime factors of 18471 are 3, 47, 131. Prime factorization of 18471 in exponential form is:

18471 = 3¹ × 47¹ × 131¹

Step-2: Prime Factorization of 18489

Prime factors of 18489 are 3, 6163. Prime factorization of 18489 in exponential form is:

18489 = 3¹ × 6163¹

Step-3: Factors of 18471

List of positive integer factors of 18471 that divides 18471 without a remainder.

1, 3, 47, 131, 141, 393, 6157

Step-4: Factors of 18489

List of positive integer factors of 18489 that divides 18471 without a remainder.

1, 3, 6163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18471 and 18489. The biggest common factor number is the GCF number.
So the greatest common factor 18471 and 18489 is 3.

Also check out the Least Common Multiple of 18471 and 18489