Greatest Common Factor of 31008 and 31012

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, 31012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31008 and 31012 is 4.

GCF(31008,31012) = 4

GCF of 31008 and 31012

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

GCF of:
and

Greatest Common Factor of 31008 and 31012

GCF of 31008 and 31012 is 4

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 31012


2 31012
2 15506
7753 7753
1

Prime factors of 31012 are 2,7753. Prime factorization of 31012 in exponential form is:

31012 = 22×77531

∴ So by taking common prime factors GCF of 31008 and 31012 is 4

Greatest Common Factor of 31008 and 31012 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 31012

List of positive integer factors of 31012 that divides 31012 without a remainder.

1,2,4,7753,15506,31012

Greatest Common Factor

We found the factors and prime factorization of 31008 and 31012. The biggest common factor number is the GCF number.
So the greatest common factor 31008 and 31012 is 4.

Also check out the Least Common Multiple of 31008 and 31012

Properties of GCF 31008 and 31012

(i) The GCF of 31008 and 31012 is associative

GCF of 31008 and 31012 = GCF of 31012 and 31008

Related Greatest Common Factor of 31008

Related Greatest Common Factor of 31012

Frequently Asked Questions on GCF of 31008 and 31012

1. What is the GCF of 31008 and 31012?

Answer: GCF of 31008 and 31012 is 4.

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 31012?

Answer: Factors of 31012 are 1, 2, 4, 7753, 15506, 31012. There are 6 integers that are factors of 31012. The greatest factor of 31012 is 31012.

4. How to Find the GCF of 31008 and 31012?

Answer:

Greatest Common Factor of 31008 and 31012 = 4

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 31012

31012 = 2 x 2 x 7753

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 31008 and 31012 is 4