Greatest Common Factor of 1029 and 1031

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 1029, 1031 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1029 and 1031 is 1.

GCF(1029,1031) = 1

GCF of 1029 and 1031

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

GCF of:
and

Greatest Common Factor of 1029 and 1031

GCF of 1029 and 1031 is 1

Prime Factorization of 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

Prime Factorization of 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

∴ So by taking common prime factors GCF of 1029 and 1031 is 1

Greatest Common Factor of 1029 and 1031 by matching factors method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1,1031

Greatest Common Factor

We found the factors and prime factorization of 1029 and 1031. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1031 is 1.

Also check out the Least Common Multiple of 1029 and 1031

Properties of GCF 1029 and 1031

(i) The GCF of 1029 and 1031 is associative

GCF of 1029 and 1031 = GCF of 1031 and 1029

Related Greatest Common Factor of 1029

Related Greatest Common Factor of 1031

Frequently Asked Questions on GCF of 1029 and 1031

1. What is the GCF of 1029 and 1031?

Answer: GCF of 1029 and 1031 is 1.

2. What are the Factors of 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

3. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

4. How to Find the GCF of 1029 and 1031?

Answer:

Greatest Common Factor of 1029 and 1031 = 1

Step 1: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 1031

1031 = 1031

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 1029 and 1031 is 1