What is the Greatest Common Factor of 7089 and 7104?

Greatest common factor (GCF) of 7089 and 7104 is 3.

GCF(7089,7104) = 3

We will now calculate the prime factors of 7089 and 7104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7089 and 7104.

How to find the GCF of 7089 and 7104?

We will first find the prime factorization of 7089 and 7104. After we will calculate the factors of 7089 and 7104 and find the biggest common factor number .

Step-1: Prime Factorization of 7089

Prime factors of 7089 are 3, 17, 139. Prime factorization of 7089 in exponential form is:

7089 = 3¹ × 17¹ × 139¹

Step-2: Prime Factorization of 7104

Prime factors of 7104 are 2, 3, 37. Prime factorization of 7104 in exponential form is:

7104 = 2⁶ × 3¹ × 37¹

Step-3: Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1, 3, 17, 51, 139, 417, 2363

Step-4: Factors of 7104

List of positive integer factors of 7104 that divides 7089 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7089 and 7104. The biggest common factor number is the GCF number.
So the greatest common factor 7089 and 7104 is 3.

Also check out the Least Common Multiple of 7089 and 7104