Greatest Common Factor of 31018 and 31023

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 31018, 31023 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31018 and 31023 is 1.

GCF(31018,31023) = 1

GCF of 31018 and 31023

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

GCF of:
and

Greatest Common Factor of 31018 and 31023

GCF of 31018 and 31023 is 1

Prime Factorization of 31018


2 31018
13 15509
1193 1193
1

Prime factors of 31018 are 2,13,1193. Prime factorization of 31018 in exponential form is:

31018 = 21×131×11931

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

∴ So by taking common prime factors GCF of 31018 and 31023 is 1

Greatest Common Factor of 31018 and 31023 by matching factors method

Factors of 31018

List of positive integer factors of 31018 that divides 31018 without a remainder.

1,2,13,26,1193,2386,15509,31018

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

Greatest Common Factor

We found the factors and prime factorization of 31018 and 31023. The biggest common factor number is the GCF number.
So the greatest common factor 31018 and 31023 is 1.

Also check out the Least Common Multiple of 31018 and 31023

Properties of GCF 31018 and 31023

(i) The GCF of 31018 and 31023 is associative

GCF of 31018 and 31023 = GCF of 31023 and 31018

Related Greatest Common Factor of 31018

Related Greatest Common Factor of 31023

Frequently Asked Questions on GCF of 31018 and 31023

1. What is the GCF of 31018 and 31023?

Answer: GCF of 31018 and 31023 is 1.

2. What are the Factors of 31018?

Answer: Factors of 31018 are 1, 2, 13, 26, 1193, 2386, 15509, 31018. There are 8 integers that are factors of 31018. The greatest factor of 31018 is 31018.

3. 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.

4. How to Find the GCF of 31018 and 31023?

Answer:

Greatest Common Factor of 31018 and 31023 = 1

Step 1: Find the prime factorization of 31018

31018 = 2 x 13 x 1193

Step 2: Find the prime factorization of 31023

31023 = 3 x 3 x 3 x 3 x 383

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 31018 and 31023 is 1