Greatest Common Factor of 31000 and 31005

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 31000, 31005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31000 and 31005 is 5.

GCF(31000,31005) = 5

GCF of 31000 and 31005

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

GCF of:
and

Greatest Common Factor of 31000 and 31005

GCF of 31000 and 31005 is 5

Prime Factorization of 31000


2 31000
2 15500
2 7750
5 3875
5 775
5 155
31 31
1

Prime factors of 31000 are 2,5,31. Prime factorization of 31000 in exponential form is:

31000 = 23×53×311

Prime Factorization of 31005


3 31005
3 10335
5 3445
13 689
53 53
1

Prime factors of 31005 are 3,5,13,53. Prime factorization of 31005 in exponential form is:

31005 = 32×51×131×531

∴ So by taking common prime factors GCF of 31000 and 31005 is 5

Greatest Common Factor of 31000 and 31005 by matching factors method

Factors of 31000

List of positive integer factors of 31000 that divides 31000 without a remainder.

1,2,4,5,8,10,20,25,31,40,50,62,100,124,125,155,200,248,250,310,500,620,775,1000,1240,1550,3100,3875,6200,7750,15500,31000

Factors of 31005

List of positive integer factors of 31005 that divides 31005 without a remainder.

1,3,5,9,13,15,39,45,53,65,117,159,195,265,477,585,689,795,2067,2385,3445,6201,10335,31005

Greatest Common Factor

We found the factors and prime factorization of 31000 and 31005. The biggest common factor number is the GCF number.
So the greatest common factor 31000 and 31005 is 5.

Also check out the Least Common Multiple of 31000 and 31005

Properties of GCF 31000 and 31005

(i) The GCF of 31000 and 31005 is associative

GCF of 31000 and 31005 = GCF of 31005 and 31000

Related Greatest Common Factor of 31000

Related Greatest Common Factor of 31005

Frequently Asked Questions on GCF of 31000 and 31005

1. What is the GCF of 31000 and 31005?

Answer: GCF of 31000 and 31005 is 5.

2. What are the Factors of 31000?

Answer: Factors of 31000 are 1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 125, 155, 200, 248, 250, 310, 500, 620, 775, 1000, 1240, 1550, 3100, 3875, 6200, 7750, 15500, 31000. There are 32 integers that are factors of 31000. The greatest factor of 31000 is 31000.

3. What are the Factors of 31005?

Answer: Factors of 31005 are 1, 3, 5, 9, 13, 15, 39, 45, 53, 65, 117, 159, 195, 265, 477, 585, 689, 795, 2067, 2385, 3445, 6201, 10335, 31005. There are 24 integers that are factors of 31005. The greatest factor of 31005 is 31005.

4. How to Find the GCF of 31000 and 31005?

Answer:

Greatest Common Factor of 31000 and 31005 = 5

Step 1: Find the prime factorization of 31000

31000 = 2 x 2 x 2 x 5 x 5 x 5 x 31

Step 2: Find the prime factorization of 31005

31005 = 3 x 3 x 5 x 13 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 31000 and 31005 is 5