Greatest Common Factor of 1034 and 1039

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 1034, 1039 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1034 and 1039 is 1.

GCF(1034,1039) = 1

GCF of 1034 and 1039

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

GCF of:
and

Greatest Common Factor of 1034 and 1039

GCF of 1034 and 1039 is 1

Prime Factorization of 1034


2 1034
11 517
47 47
1

Prime factors of 1034 are 2,11,47. Prime factorization of 1034 in exponential form is:

1034 = 21×111×471

Prime Factorization of 1039


1039 1039
1

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 10391

∴ So by taking common prime factors GCF of 1034 and 1039 is 1

Greatest Common Factor of 1034 and 1039 by matching factors method

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1,2,11,22,47,94,517,1034

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1,1039

Greatest Common Factor

We found the factors and prime factorization of 1034 and 1039. The biggest common factor number is the GCF number.
So the greatest common factor 1034 and 1039 is 1.

Also check out the Least Common Multiple of 1034 and 1039

Properties of GCF 1034 and 1039

(i) The GCF of 1034 and 1039 is associative

GCF of 1034 and 1039 = GCF of 1039 and 1034

Related Greatest Common Factor of 1034

Related Greatest Common Factor of 1039

Frequently Asked Questions on GCF of 1034 and 1039

1. What is the GCF of 1034 and 1039?

Answer: GCF of 1034 and 1039 is 1.

2. What are the Factors of 1034?

Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.

3. What are the Factors of 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

4. How to Find the GCF of 1034 and 1039?

Answer:

Greatest Common Factor of 1034 and 1039 = 1

Step 1: Find the prime factorization of 1034

1034 = 2 x 11 x 47

Step 2: Find the prime factorization of 1039

1039 = 1039

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1034 and 1039 is 1