Greatest Common Factor of 31022 and 31029

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 31022, 31029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31022 and 31029 is 1.

GCF(31022,31029) = 1

GCF of 31022 and 31029

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

GCF of:
and

Greatest Common Factor of 31022 and 31029

GCF of 31022 and 31029 is 1

Prime Factorization of 31022


2 31022
15511 15511
1

Prime factors of 31022 are 2,15511. Prime factorization of 31022 in exponential form is:

31022 = 21×155111

Prime Factorization of 31029


3 31029
10343 10343
1

Prime factors of 31029 are 3,10343. Prime factorization of 31029 in exponential form is:

31029 = 31×103431

∴ So by taking common prime factors GCF of 31022 and 31029 is 1

Greatest Common Factor of 31022 and 31029 by matching factors method

Factors of 31022

List of positive integer factors of 31022 that divides 31022 without a remainder.

1,2,15511,31022

Factors of 31029

List of positive integer factors of 31029 that divides 31029 without a remainder.

1,3,10343,31029

Greatest Common Factor

We found the factors and prime factorization of 31022 and 31029. The biggest common factor number is the GCF number.
So the greatest common factor 31022 and 31029 is 1.

Also check out the Least Common Multiple of 31022 and 31029

Properties of GCF 31022 and 31029

(i) The GCF of 31022 and 31029 is associative

GCF of 31022 and 31029 = GCF of 31029 and 31022

Related Greatest Common Factor of 31022

Related Greatest Common Factor of 31029

Frequently Asked Questions on GCF of 31022 and 31029

1. What is the GCF of 31022 and 31029?

Answer: GCF of 31022 and 31029 is 1.

2. What are the Factors of 31022?

Answer: Factors of 31022 are 1, 2, 15511, 31022. There are 4 integers that are factors of 31022. The greatest factor of 31022 is 31022.

3. What are the Factors of 31029?

Answer: Factors of 31029 are 1, 3, 10343, 31029. There are 4 integers that are factors of 31029. The greatest factor of 31029 is 31029.

4. How to Find the GCF of 31022 and 31029?

Answer:

Greatest Common Factor of 31022 and 31029 = 1

Step 1: Find the prime factorization of 31022

31022 = 2 x 15511

Step 2: Find the prime factorization of 31029

31029 = 3 x 10343

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 31022 and 31029 is 1