Greatest Common Factor of 3034 and 3042

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 3034, 3042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3034 and 3042 is 2.

GCF(3034,3042) = 2

GCF of 3034 and 3042

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

GCF of:
and

Greatest Common Factor of 3034 and 3042

GCF of 3034 and 3042 is 2

Prime Factorization of 3034


2 3034
37 1517
41 41
1

Prime factors of 3034 are 2,37,41. Prime factorization of 3034 in exponential form is:

3034 = 21×371×411

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

∴ So by taking common prime factors GCF of 3034 and 3042 is 2

Greatest Common Factor of 3034 and 3042 by matching factors method

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

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

Greatest Common Factor

We found the factors and prime factorization of 3034 and 3042. The biggest common factor number is the GCF number.
So the greatest common factor 3034 and 3042 is 2.

Also check out the Least Common Multiple of 3034 and 3042

Properties of GCF 3034 and 3042

(i) The GCF of 3034 and 3042 is associative

GCF of 3034 and 3042 = GCF of 3042 and 3034

Related Greatest Common Factor of 3034

Related Greatest Common Factor of 3042

Frequently Asked Questions on GCF of 3034 and 3042

1. What is the GCF of 3034 and 3042?

Answer: GCF of 3034 and 3042 is 2.

2. What are the Factors of 3034?

Answer: Factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034. There are 8 integers that are factors of 3034. The greatest factor of 3034 is 3034.

3. 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.

4. How to Find the GCF of 3034 and 3042?

Answer:

Greatest Common Factor of 3034 and 3042 = 2

Step 1: Find the prime factorization of 3034

3034 = 2 x 37 x 41

Step 2: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

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 3034 and 3042 is 2