Greatest Common Factor of 31008 and 31009

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 31008, 31009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31008 and 31009 is 1.

GCF(31008,31009) = 1

GCF of 31008 and 31009

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

GCF of:
and

Greatest Common Factor of 31008 and 31009

GCF of 31008 and 31009 is 1

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

Prime Factorization of 31009


11 31009
2819 2819
1

Prime factors of 31009 are 11,2819. Prime factorization of 31009 in exponential form is:

31009 = 111×28191

∴ So by taking common prime factors GCF of 31008 and 31009 is 1

Greatest Common Factor of 31008 and 31009 by matching factors method

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

Factors of 31009

List of positive integer factors of 31009 that divides 31009 without a remainder.

1,11,2819,31009

Greatest Common Factor

We found the factors and prime factorization of 31008 and 31009. The biggest common factor number is the GCF number.
So the greatest common factor 31008 and 31009 is 1.

Also check out the Least Common Multiple of 31008 and 31009

Properties of GCF 31008 and 31009

(i) The GCF of 31008 and 31009 is associative

GCF of 31008 and 31009 = GCF of 31009 and 31008

Related Greatest Common Factor of 31008

Related Greatest Common Factor of 31009

Frequently Asked Questions on GCF of 31008 and 31009

1. What is the GCF of 31008 and 31009?

Answer: GCF of 31008 and 31009 is 1.

2. 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.

3. What are the Factors of 31009?

Answer: Factors of 31009 are 1, 11, 2819, 31009. There are 4 integers that are factors of 31009. The greatest factor of 31009 is 31009.

4. How to Find the GCF of 31008 and 31009?

Answer:

Greatest Common Factor of 31008 and 31009 = 1

Step 1: Find the prime factorization of 31008

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

Step 2: Find the prime factorization of 31009

31009 = 11 x 2819

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 31008 and 31009 is 1