Greatest Common Factor of 3042 and 3049

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 3042, 3049 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3042 and 3049 is 1.

GCF(3042,3049) = 1

GCF of 3042 and 3049

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

GCF of:
and

Greatest Common Factor of 3042 and 3049

GCF of 3042 and 3049 is 1

Prime Factorization of 3042


2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 3042 are 2,3,13. Prime factorization of 3042 in exponential form is:

3042 = 21×32×132

Prime Factorization of 3049


3049 3049
1

Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:

3049 = 30491

∴ So by taking common prime factors GCF of 3042 and 3049 is 1

Greatest Common Factor of 3042 and 3049 by matching factors method

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Greatest Common Factor

We found the factors and prime factorization of 3042 and 3049. The biggest common factor number is the GCF number.
So the greatest common factor 3042 and 3049 is 1.

Also check out the Least Common Multiple of 3042 and 3049

Properties of GCF 3042 and 3049

(i) The GCF of 3042 and 3049 is associative

GCF of 3042 and 3049 = GCF of 3049 and 3042

Related Greatest Common Factor of 3042

Related Greatest Common Factor of 3049

Frequently Asked Questions on GCF of 3042 and 3049

1. What is the GCF of 3042 and 3049?

Answer: GCF of 3042 and 3049 is 1.

2. What are the Factors of 3042?

Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.

3. What are the Factors of 3049?

Answer: Factors of 3049 are 1, 3049. There are 2 integers that are factors of 3049. The greatest factor of 3049 is 3049.

4. How to Find the GCF of 3042 and 3049?

Answer:

Greatest Common Factor of 3042 and 3049 = 1

Step 1: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 3049

3049 = 3049

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 3042 and 3049 is 1