What is the Greatest Common Factor of 7104 and 7119?

Greatest common factor (GCF) of 7104 and 7119 is 3.

GCF(7104,7119) = 3

We will now calculate the prime factors of 7104 and 7119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7104 and 7119.

How to find the GCF of 7104 and 7119?

We will first find the prime factorization of 7104 and 7119. After we will calculate the factors of 7104 and 7119 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7119

Prime factors of 7119 are 3, 7, 113. Prime factorization of 7119 in exponential form is:

7119 = 3² × 7¹ × 113¹

Step-3: Factors of 7104

List of positive integer factors of 7104 that divides 7104 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

Step-4: Factors of 7119

List of positive integer factors of 7119 that divides 7104 without a remainder.

1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7104 and 7119. The biggest common factor number is the GCF number.
So the greatest common factor 7104 and 7119 is 3.

Also check out the Least Common Multiple of 7104 and 7119