Greatest Common Factor of 3038 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 3038, 3042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3038 and 3042 is 2.

GCF(3038,3042) = 2

GCF of 3038 and 3042

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

GCF of:
and

Greatest Common Factor of 3038 and 3042

GCF of 3038 and 3042 is 2

Prime Factorization of 3038


2 3038
7 1519
7 217
31 31
1

Prime factors of 3038 are 2,7,31. Prime factorization of 3038 in exponential form is:

3038 = 21×72×311

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 3038 and 3042 is 2

Greatest Common Factor of 3038 and 3042 by matching factors method

Factors of 3038

List of positive integer factors of 3038 that divides 3038 without a remainder.

1,2,7,14,31,49,62,98,217,434,1519,3038

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 3038 and 3042. The biggest common factor number is the GCF number.
So the greatest common factor 3038 and 3042 is 2.

Also check out the Least Common Multiple of 3038 and 3042

Properties of GCF 3038 and 3042

(i) The GCF of 3038 and 3042 is associative

GCF of 3038 and 3042 = GCF of 3042 and 3038

Related Greatest Common Factor of 3038

Related Greatest Common Factor of 3042

Frequently Asked Questions on GCF of 3038 and 3042

1. What is the GCF of 3038 and 3042?

Answer: GCF of 3038 and 3042 is 2.

2. What are the Factors of 3038?

Answer: Factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038. There are 12 integers that are factors of 3038. The greatest factor of 3038 is 3038.

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 3038 and 3042?

Answer:

Greatest Common Factor of 3038 and 3042 = 2

Step 1: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

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 3038 and 3042 is 2