Greatest Common Factor of 1030 and 1038

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 1030, 1038 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1030 and 1038 is 2.

GCF(1030,1038) = 2

GCF of 1030 and 1038

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

GCF of:
and

Greatest Common Factor of 1030 and 1038

GCF of 1030 and 1038 is 2

Prime Factorization of 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2,5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

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

∴ So by taking common prime factors GCF of 1030 and 1038 is 2

Greatest Common Factor of 1030 and 1038 by matching factors method

Factors of 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1,2,5,10,103,206,515,1030

Factors of 1038

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

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

Greatest Common Factor

We found the factors and prime factorization of 1030 and 1038. The biggest common factor number is the GCF number.
So the greatest common factor 1030 and 1038 is 2.

Also check out the Least Common Multiple of 1030 and 1038

Properties of GCF 1030 and 1038

(i) The GCF of 1030 and 1038 is associative

GCF of 1030 and 1038 = GCF of 1038 and 1030

Related Greatest Common Factor of 1030

Related Greatest Common Factor of 1038

Frequently Asked Questions on GCF of 1030 and 1038

1. What is the GCF of 1030 and 1038?

Answer: GCF of 1030 and 1038 is 2.

2. What are the Factors of 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

3. 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.

4. How to Find the GCF of 1030 and 1038?

Answer:

Greatest Common Factor of 1030 and 1038 = 2

Step 1: Find the prime factorization of 1030

1030 = 2 x 5 x 103

Step 2: Find the prime factorization of 1038

1038 = 2 x 3 x 173

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 1030 and 1038 is 2