Greatest Common Factor of 31488 and 31494

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 31488, 31494 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31488 and 31494 is 6.

GCF(31488,31494) = 6

GCF of 31488 and 31494

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

GCF of:
and

Greatest Common Factor of 31488 and 31494

GCF of 31488 and 31494 is 6

Prime Factorization of 31488


2 31488
2 15744
2 7872
2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 31488 are 2,3,41. Prime factorization of 31488 in exponential form is:

31488 = 28×31×411

Prime Factorization of 31494


2 31494
3 15747
29 5249
181 181
1

Prime factors of 31494 are 2,3,29,181. Prime factorization of 31494 in exponential form is:

31494 = 21×31×291×1811

∴ So by taking common prime factors GCF of 31488 and 31494 is 6

Greatest Common Factor of 31488 and 31494 by matching factors method

Factors of 31488

List of positive integer factors of 31488 that divides 31488 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,128,164,192,246,256,328,384,492,656,768,984,1312,1968,2624,3936,5248,7872,10496,15744,31488

Factors of 31494

List of positive integer factors of 31494 that divides 31494 without a remainder.

1,2,3,6,29,58,87,174,181,362,543,1086,5249,10498,15747,31494

Greatest Common Factor

We found the factors and prime factorization of 31488 and 31494. The biggest common factor number is the GCF number.
So the greatest common factor 31488 and 31494 is 6.

Also check out the Least Common Multiple of 31488 and 31494

Properties of GCF 31488 and 31494

(i) The GCF of 31488 and 31494 is associative

GCF of 31488 and 31494 = GCF of 31494 and 31488

Related Greatest Common Factor of 31488

Related Greatest Common Factor of 31494

Frequently Asked Questions on GCF of 31488 and 31494

1. What is the GCF of 31488 and 31494?

Answer: GCF of 31488 and 31494 is 6.

2. What are the Factors of 31488?

Answer: Factors of 31488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 256, 328, 384, 492, 656, 768, 984, 1312, 1968, 2624, 3936, 5248, 7872, 10496, 15744, 31488. There are 36 integers that are factors of 31488. The greatest factor of 31488 is 31488.

3. What are the Factors of 31494?

Answer: Factors of 31494 are 1, 2, 3, 6, 29, 58, 87, 174, 181, 362, 543, 1086, 5249, 10498, 15747, 31494. There are 16 integers that are factors of 31494. The greatest factor of 31494 is 31494.

4. How to Find the GCF of 31488 and 31494?

Answer:

Greatest Common Factor of 31488 and 31494 = 6

Step 1: Find the prime factorization of 31488

31488 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 31494

31494 = 2 x 3 x 29 x 181

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 31488 and 31494 is 6