Greatest Common Factor of 1038 and 1046

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 1038, 1046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1038 and 1046 is 2.

GCF(1038,1046) = 2

GCF of 1038 and 1046

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

GCF of:
and

Greatest Common Factor of 1038 and 1046

GCF of 1038 and 1046 is 2

Prime Factorization of 1038


2 1038
3 519
173 173
1

Prime factors of 1038 are 2,3,173. Prime factorization of 1038 in exponential form is:

1038 = 21×31×1731

Prime Factorization of 1046


2 1046
523 523
1

Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:

1046 = 21×5231

∴ So by taking common prime factors GCF of 1038 and 1046 is 2

Greatest Common Factor of 1038 and 1046 by matching factors method

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1,2,3,6,173,346,519,1038

Factors of 1046

List of positive integer factors of 1046 that divides 1046 without a remainder.

1,2,523,1046

Greatest Common Factor

We found the factors and prime factorization of 1038 and 1046. The biggest common factor number is the GCF number.
So the greatest common factor 1038 and 1046 is 2.

Also check out the Least Common Multiple of 1038 and 1046

Properties of GCF 1038 and 1046

(i) The GCF of 1038 and 1046 is associative

GCF of 1038 and 1046 = GCF of 1046 and 1038

Related Greatest Common Factor of 1038

Related Greatest Common Factor of 1046

Frequently Asked Questions on GCF of 1038 and 1046

1. What is the GCF of 1038 and 1046?

Answer: GCF of 1038 and 1046 is 2.

2. What are the Factors of 1038?

Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.

3. What are the Factors of 1046?

Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.

4. How to Find the GCF of 1038 and 1046?

Answer:

Greatest Common Factor of 1038 and 1046 = 2

Step 1: Find the prime factorization of 1038

1038 = 2 x 3 x 173

Step 2: Find the prime factorization of 1046

1046 = 2 x 523

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 1038 and 1046 is 2