Greatest Common Factor of 3042 and 3047

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, 3047 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3042 and 3047 is 1.

GCF(3042,3047) = 1

GCF of 3042 and 3047

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

GCF of:
and

Greatest Common Factor of 3042 and 3047

GCF of 3042 and 3047 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 3047


11 3047
277 277
1

Prime factors of 3047 are 11,277. Prime factorization of 3047 in exponential form is:

3047 = 111×2771

∴ So by taking common prime factors GCF of 3042 and 3047 is 1

Greatest Common Factor of 3042 and 3047 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 3047

List of positive integer factors of 3047 that divides 3047 without a remainder.

1,11,277,3047

Greatest Common Factor

We found the factors and prime factorization of 3042 and 3047. The biggest common factor number is the GCF number.
So the greatest common factor 3042 and 3047 is 1.

Also check out the Least Common Multiple of 3042 and 3047

Properties of GCF 3042 and 3047

(i) The GCF of 3042 and 3047 is associative

GCF of 3042 and 3047 = GCF of 3047 and 3042

Frequently Asked Questions on GCF of 3042 and 3047

1. What is the GCF of 3042 and 3047?

Answer: GCF of 3042 and 3047 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 3047?

Answer: Factors of 3047 are 1, 11, 277, 3047. There are 4 integers that are factors of 3047. The greatest factor of 3047 is 3047.

4. How to Find the GCF of 3042 and 3047?

Answer:

Greatest Common Factor of 3042 and 3047 = 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 3047

3047 = 11 x 277

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 3047 is 1