Greatest Common Factor of 3038 and 3044

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, 3044 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3038 and 3044 is 2.

GCF(3038,3044) = 2

GCF of 3038 and 3044

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

GCF of:
and

Greatest Common Factor of 3038 and 3044

GCF of 3038 and 3044 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 3044


2 3044
2 1522
761 761
1

Prime factors of 3044 are 2,761. Prime factorization of 3044 in exponential form is:

3044 = 22×7611

∴ So by taking common prime factors GCF of 3038 and 3044 is 2

Greatest Common Factor of 3038 and 3044 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 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1,2,4,761,1522,3044

Greatest Common Factor

We found the factors and prime factorization of 3038 and 3044. The biggest common factor number is the GCF number.
So the greatest common factor 3038 and 3044 is 2.

Also check out the Least Common Multiple of 3038 and 3044

Properties of GCF 3038 and 3044

(i) The GCF of 3038 and 3044 is associative

GCF of 3038 and 3044 = GCF of 3044 and 3038

Related Greatest Common Factor of 3038

Related Greatest Common Factor of 3044

Frequently Asked Questions on GCF of 3038 and 3044

1. What is the GCF of 3038 and 3044?

Answer: GCF of 3038 and 3044 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 3044?

Answer: Factors of 3044 are 1, 2, 4, 761, 1522, 3044. There are 6 integers that are factors of 3044. The greatest factor of 3044 is 3044.

4. How to Find the GCF of 3038 and 3044?

Answer:

Greatest Common Factor of 3038 and 3044 = 2

Step 1: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

Step 2: Find the prime factorization of 3044

3044 = 2 x 2 x 761

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 3044 is 2