What is the Greatest Common Factor of 13074 and 13080?

Greatest common factor (GCF) of 13074 and 13080 is 6.

GCF(13074,13080) = 6

We will now calculate the prime factors of 13074 and 13080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13074 and 13080.

How to find the GCF of 13074 and 13080?

We will first find the prime factorization of 13074 and 13080. After we will calculate the factors of 13074 and 13080 and find the biggest common factor number .

Step-1: Prime Factorization of 13074

Prime factors of 13074 are 2, 3, 2179. Prime factorization of 13074 in exponential form is:

13074 = 2¹ × 3¹ × 2179¹

Step-2: Prime Factorization of 13080

Prime factors of 13080 are 2, 3, 5, 109. Prime factorization of 13080 in exponential form is:

13080 = 2³ × 3¹ × 5¹ × 109¹

Step-3: Factors of 13074

List of positive integer factors of 13074 that divides 13074 without a remainder.

1, 2, 3, 6, 2179, 4358, 6537

Step-4: Factors of 13080

List of positive integer factors of 13080 that divides 13074 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13074 and 13080. The biggest common factor number is the GCF number.
So the greatest common factor 13074 and 13080 is 6.

Also check out the Least Common Multiple of 13074 and 13080