Greatest Common Factor of 13066 and 13074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 13066, 13074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13066 and 13074 is 2.

GCF(13066,13074) = 2

GCF of 13066 and 13074

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 13066 and 13074

GCF of 13066 and 13074 is 2

Prime Factorization of 13066


2 13066
47 6533
139 139
1

Prime factors of 13066 are 2,47,139. Prime factorization of 13066 in exponential form is:

13066 = 21×471×1391

Prime Factorization of 13074


2 13074
3 6537
2179 2179
1

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

13074 = 21×31×21791

∴ So by taking common prime factors GCF of 13066 and 13074 is 2

Greatest Common Factor of 13066 and 13074 by matching factors method

Factors of 13066

List of positive integer factors of 13066 that divides 13066 without a remainder.

1,2,47,94,139,278,6533,13066

Factors of 13074

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

1,2,3,6,2179,4358,6537,13074

Greatest Common Factor

We found the factors and prime factorization of 13066 and 13074. The biggest common factor number is the GCF number.
So the greatest common factor 13066 and 13074 is 2.

Also check out the Least Common Multiple of 13066 and 13074

Properties of GCF 13066 and 13074

(i) The GCF of 13066 and 13074 is associative

GCF of 13066 and 13074 = GCF of 13074 and 13066

Related Greatest Common Factor of 13066

Related Greatest Common Factor of 13074

Frequently Asked Questions on GCF of 13066 and 13074

1. What is the GCF of 13066 and 13074?

Answer: GCF of 13066 and 13074 is 2.

2. What are the Factors of 13066?

Answer: Factors of 13066 are 1, 2, 47, 94, 139, 278, 6533, 13066. There are 8 integers that are factors of 13066. The greatest factor of 13066 is 13066.

3. What are the Factors of 13074?

Answer: Factors of 13074 are 1, 2, 3, 6, 2179, 4358, 6537, 13074. There are 8 integers that are factors of 13074. The greatest factor of 13074 is 13074.

4. How to Find the GCF of 13066 and 13074?

Answer:

Greatest Common Factor of 13066 and 13074 = 2

Step 1: Find the prime factorization of 13066

13066 = 2 x 47 x 139

Step 2: Find the prime factorization of 13074

13074 = 2 x 3 x 2179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 13066 and 13074 is 2