Greatest Common Factor of 31023 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 31023, 31029 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31023 and 31029 is 3.

GCF(31023,31029) = 3

GCF of 31023 and 31029

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

GCF of:
and

Greatest Common Factor of 31023 and 31029

GCF of 31023 and 31029 is 3

Prime Factorization of 31023


3 31023
3 10341
3 3447
3 1149
383 383
1

Prime factors of 31023 are 3,383. Prime factorization of 31023 in exponential form is:

31023 = 34×3831

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 31023 and 31029 is 3

Greatest Common Factor of 31023 and 31029 by matching factors method

Factors of 31023

List of positive integer factors of 31023 that divides 31023 without a remainder.

1,3,9,27,81,383,1149,3447,10341,31023

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 31023 and 31029. The biggest common factor number is the GCF number.
So the greatest common factor 31023 and 31029 is 3.

Also check out the Least Common Multiple of 31023 and 31029

Properties of GCF 31023 and 31029

(i) The GCF of 31023 and 31029 is associative

GCF of 31023 and 31029 = GCF of 31029 and 31023

Related Greatest Common Factor of 31023

Related Greatest Common Factor of 31029

Frequently Asked Questions on GCF of 31023 and 31029

1. What is the GCF of 31023 and 31029?

Answer: GCF of 31023 and 31029 is 3.

2. What are the Factors of 31023?

Answer: Factors of 31023 are 1, 3, 9, 27, 81, 383, 1149, 3447, 10341, 31023. There are 10 integers that are factors of 31023. The greatest factor of 31023 is 31023.

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 31023 and 31029?

Answer:

Greatest Common Factor of 31023 and 31029 = 3

Step 1: Find the prime factorization of 31023

31023 = 3 x 3 x 3 x 3 x 383

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 = 3

Step 4: Therefore, the greatest common factor of 31023 and 31029 is 3