Greatest Common Factor of 1038 and 1042

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, 1042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1038 and 1042 is 2.

GCF(1038,1042) = 2

GCF of 1038 and 1042

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

GCF of:
and

Greatest Common Factor of 1038 and 1042

GCF of 1038 and 1042 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 1042


2 1042
521 521
1

Prime factors of 1042 are 2,521. Prime factorization of 1042 in exponential form is:

1042 = 21×5211

∴ So by taking common prime factors GCF of 1038 and 1042 is 2

Greatest Common Factor of 1038 and 1042 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 1042

List of positive integer factors of 1042 that divides 1042 without a remainder.

1,2,521,1042

Greatest Common Factor

We found the factors and prime factorization of 1038 and 1042. The biggest common factor number is the GCF number.
So the greatest common factor 1038 and 1042 is 2.

Also check out the Least Common Multiple of 1038 and 1042

Properties of GCF 1038 and 1042

(i) The GCF of 1038 and 1042 is associative

GCF of 1038 and 1042 = GCF of 1042 and 1038

Related Greatest Common Factor of 1038

Related Greatest Common Factor of 1042

Frequently Asked Questions on GCF of 1038 and 1042

1. What is the GCF of 1038 and 1042?

Answer: GCF of 1038 and 1042 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 1042?

Answer: Factors of 1042 are 1, 2, 521, 1042. There are 4 integers that are factors of 1042. The greatest factor of 1042 is 1042.

4. How to Find the GCF of 1038 and 1042?

Answer:

Greatest Common Factor of 1038 and 1042 = 2

Step 1: Find the prime factorization of 1038

1038 = 2 x 3 x 173

Step 2: Find the prime factorization of 1042

1042 = 2 x 521

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 1042 is 2