Greatest Common Factor of 31008 and 31015

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, 31015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31008 and 31015 is 1.

GCF(31008,31015) = 1

GCF of 31008 and 31015

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

GCF of:
and

Greatest Common Factor of 31008 and 31015

GCF of 31008 and 31015 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 31015


5 31015
6203 6203
1

Prime factors of 31015 are 5,6203. Prime factorization of 31015 in exponential form is:

31015 = 51×62031

∴ So by taking common prime factors GCF of 31008 and 31015 is 1

Greatest Common Factor of 31008 and 31015 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 31015

List of positive integer factors of 31015 that divides 31015 without a remainder.

1,5,6203,31015

Greatest Common Factor

We found the factors and prime factorization of 31008 and 31015. The biggest common factor number is the GCF number.
So the greatest common factor 31008 and 31015 is 1.

Also check out the Least Common Multiple of 31008 and 31015

Properties of GCF 31008 and 31015

(i) The GCF of 31008 and 31015 is associative

GCF of 31008 and 31015 = GCF of 31015 and 31008

Related Greatest Common Factor of 31008

Related Greatest Common Factor of 31015

Frequently Asked Questions on GCF of 31008 and 31015

1. What is the GCF of 31008 and 31015?

Answer: GCF of 31008 and 31015 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 31015?

Answer: Factors of 31015 are 1, 5, 6203, 31015. There are 4 integers that are factors of 31015. The greatest factor of 31015 is 31015.

4. How to Find the GCF of 31008 and 31015?

Answer:

Greatest Common Factor of 31008 and 31015 = 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 31015

31015 = 5 x 6203

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 31015 is 1