Greatest Common Factor of 31000 and 31001

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, 31001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31000 and 31001 is 1.

GCF(31000,31001) = 1

GCF of 31000 and 31001

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

GCF of:
and

Greatest Common Factor of 31000 and 31001

GCF of 31000 and 31001 is 1

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 31001


29 31001
1069 1069
1

Prime factors of 31001 are 29,1069. Prime factorization of 31001 in exponential form is:

31001 = 291×10691

∴ So by taking common prime factors GCF of 31000 and 31001 is 1

Greatest Common Factor of 31000 and 31001 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 31001

List of positive integer factors of 31001 that divides 31001 without a remainder.

1,29,1069,31001

Greatest Common Factor

We found the factors and prime factorization of 31000 and 31001. The biggest common factor number is the GCF number.
So the greatest common factor 31000 and 31001 is 1.

Also check out the Least Common Multiple of 31000 and 31001

Properties of GCF 31000 and 31001

(i) The GCF of 31000 and 31001 is associative

GCF of 31000 and 31001 = GCF of 31001 and 31000

Related Greatest Common Factor of 31000

Related Greatest Common Factor of 31001

Frequently Asked Questions on GCF of 31000 and 31001

1. What is the GCF of 31000 and 31001?

Answer: GCF of 31000 and 31001 is 1.

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 31001?

Answer: Factors of 31001 are 1, 29, 1069, 31001. There are 4 integers that are factors of 31001. The greatest factor of 31001 is 31001.

4. How to Find the GCF of 31000 and 31001?

Answer:

Greatest Common Factor of 31000 and 31001 = 1

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 31001

31001 = 29 x 1069

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 31000 and 31001 is 1