Greatest Common Factor of 3038 and 3046

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, 3046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3038 and 3046 is 2.

GCF(3038,3046) = 2

GCF of 3038 and 3046

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

GCF of:
and

Greatest Common Factor of 3038 and 3046

GCF of 3038 and 3046 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 3046


2 3046
1523 1523
1

Prime factors of 3046 are 2,1523. Prime factorization of 3046 in exponential form is:

3046 = 21×15231

∴ So by taking common prime factors GCF of 3038 and 3046 is 2

Greatest Common Factor of 3038 and 3046 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 3046

List of positive integer factors of 3046 that divides 3046 without a remainder.

1,2,1523,3046

Greatest Common Factor

We found the factors and prime factorization of 3038 and 3046. The biggest common factor number is the GCF number.
So the greatest common factor 3038 and 3046 is 2.

Also check out the Least Common Multiple of 3038 and 3046

Properties of GCF 3038 and 3046

(i) The GCF of 3038 and 3046 is associative

GCF of 3038 and 3046 = GCF of 3046 and 3038

Related Greatest Common Factor of 3038

Related Greatest Common Factor of 3046

Frequently Asked Questions on GCF of 3038 and 3046

1. What is the GCF of 3038 and 3046?

Answer: GCF of 3038 and 3046 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 3046?

Answer: Factors of 3046 are 1, 2, 1523, 3046. There are 4 integers that are factors of 3046. The greatest factor of 3046 is 3046.

4. How to Find the GCF of 3038 and 3046?

Answer:

Greatest Common Factor of 3038 and 3046 = 2

Step 1: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

Step 2: Find the prime factorization of 3046

3046 = 2 x 1523

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 3046 is 2