Greatest Common Factor of 31001 and 31008

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 31001, 31008 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31001 and 31008 is 1.

GCF(31001,31008) = 1

GCF of 31001 and 31008

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

GCF of:
and

Greatest Common Factor of 31001 and 31008

GCF of 31001 and 31008 is 1

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

Prime Factorization of 31008


2 31008
2 15504
2 7752
2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 31008 are 2,3,17,19. Prime factorization of 31008 in exponential form is:

31008 = 25×31×171×191

∴ So by taking common prime factors GCF of 31001 and 31008 is 1

Greatest Common Factor of 31001 and 31008 by matching factors method

Factors of 31001

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

1,29,1069,31001

Factors of 31008

List of positive integer factors of 31008 that divides 31008 without a remainder.

1,2,3,4,6,8,12,16,17,19,24,32,34,38,48,51,57,68,76,96,102,114,136,152,204,228,272,304,323,408,456,544,608,646,816,912,969,1292,1632,1824,1938,2584,3876,5168,7752,10336,15504,31008

Greatest Common Factor

We found the factors and prime factorization of 31001 and 31008. The biggest common factor number is the GCF number.
So the greatest common factor 31001 and 31008 is 1.

Also check out the Least Common Multiple of 31001 and 31008

Properties of GCF 31001 and 31008

(i) The GCF of 31001 and 31008 is associative

GCF of 31001 and 31008 = GCF of 31008 and 31001

Related Greatest Common Factor of 31001

Related Greatest Common Factor of 31008

Frequently Asked Questions on GCF of 31001 and 31008

1. What is the GCF of 31001 and 31008?

Answer: GCF of 31001 and 31008 is 1.

2. 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.

3. What are the Factors of 31008?

Answer: Factors of 31008 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 19, 24, 32, 34, 38, 48, 51, 57, 68, 76, 96, 102, 114, 136, 152, 204, 228, 272, 304, 323, 408, 456, 544, 608, 646, 816, 912, 969, 1292, 1632, 1824, 1938, 2584, 3876, 5168, 7752, 10336, 15504, 31008. There are 48 integers that are factors of 31008. The greatest factor of 31008 is 31008.

4. How to Find the GCF of 31001 and 31008?

Answer:

Greatest Common Factor of 31001 and 31008 = 1

Step 1: Find the prime factorization of 31001

31001 = 29 x 1069

Step 2: Find the prime factorization of 31008

31008 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19

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 31001 and 31008 is 1