Greatest Common Factor of 13069 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 13069, 13074 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13069 and 13074 is 1.

GCF(13069,13074) = 1

GCF of 13069 and 13074

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

GCF of:
and

Greatest Common Factor of 13069 and 13074

GCF of 13069 and 13074 is 1

Prime Factorization of 13069


7 13069
1867 1867
1

Prime factors of 13069 are 7,1867. Prime factorization of 13069 in exponential form is:

13069 = 71×18671

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 13069 and 13074 is 1

Greatest Common Factor of 13069 and 13074 by matching factors method

Factors of 13069

List of positive integer factors of 13069 that divides 13069 without a remainder.

1,7,1867,13069

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 13069 and 13074. The biggest common factor number is the GCF number.
So the greatest common factor 13069 and 13074 is 1.

Also check out the Least Common Multiple of 13069 and 13074

Properties of GCF 13069 and 13074

(i) The GCF of 13069 and 13074 is associative

GCF of 13069 and 13074 = GCF of 13074 and 13069

Related Greatest Common Factor of 13069

Related Greatest Common Factor of 13074

Frequently Asked Questions on GCF of 13069 and 13074

1. What is the GCF of 13069 and 13074?

Answer: GCF of 13069 and 13074 is 1.

2. What are the Factors of 13069?

Answer: Factors of 13069 are 1, 7, 1867, 13069. There are 4 integers that are factors of 13069. The greatest factor of 13069 is 13069.

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 13069 and 13074?

Answer:

Greatest Common Factor of 13069 and 13074 = 1

Step 1: Find the prime factorization of 13069

13069 = 7 x 1867

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 = = 1

Step 4: Therefore, the greatest common factor of 13069 and 13074 is 1