Greatest Common Factor of 3031 and 3038

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 3031, 3038 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3031 and 3038 is 7.

GCF(3031,3038) = 7

GCF of 3031 and 3038

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

GCF of:
and

Greatest Common Factor of 3031 and 3038

GCF of 3031 and 3038 is 7

Prime Factorization of 3031


7 3031
433 433
1

Prime factors of 3031 are 7,433. Prime factorization of 3031 in exponential form is:

3031 = 71×4331

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

∴ So by taking common prime factors GCF of 3031 and 3038 is 7

Greatest Common Factor of 3031 and 3038 by matching factors method

Factors of 3031

List of positive integer factors of 3031 that divides 3031 without a remainder.

1,7,433,3031

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

Greatest Common Factor

We found the factors and prime factorization of 3031 and 3038. The biggest common factor number is the GCF number.
So the greatest common factor 3031 and 3038 is 7.

Also check out the Least Common Multiple of 3031 and 3038

Properties of GCF 3031 and 3038

(i) The GCF of 3031 and 3038 is associative

GCF of 3031 and 3038 = GCF of 3038 and 3031

Related Greatest Common Factor of 3031

Related Greatest Common Factor of 3038

Frequently Asked Questions on GCF of 3031 and 3038

1. What is the GCF of 3031 and 3038?

Answer: GCF of 3031 and 3038 is 7.

2. What are the Factors of 3031?

Answer: Factors of 3031 are 1, 7, 433, 3031. There are 4 integers that are factors of 3031. The greatest factor of 3031 is 3031.

3. 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.

4. How to Find the GCF of 3031 and 3038?

Answer:

Greatest Common Factor of 3031 and 3038 = 7

Step 1: Find the prime factorization of 3031

3031 = 7 x 433

Step 2: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3031 and 3038 is 7