Greatest Common Factor of 31488 and 31493

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, 31493 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31488 and 31493 is 1.

GCF(31488,31493) = 1

GCF of 31488 and 31493

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

GCF of:
and

Greatest Common Factor of 31488 and 31493

GCF of 31488 and 31493 is 1

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 31493


7 31493
11 4499
409 409
1

Prime factors of 31493 are 7,11,409. Prime factorization of 31493 in exponential form is:

31493 = 71×111×4091

∴ So by taking common prime factors GCF of 31488 and 31493 is 1

Greatest Common Factor of 31488 and 31493 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 31493

List of positive integer factors of 31493 that divides 31493 without a remainder.

1,7,11,77,409,2863,4499,31493

Greatest Common Factor

We found the factors and prime factorization of 31488 and 31493. The biggest common factor number is the GCF number.
So the greatest common factor 31488 and 31493 is 1.

Also check out the Least Common Multiple of 31488 and 31493

Properties of GCF 31488 and 31493

(i) The GCF of 31488 and 31493 is associative

GCF of 31488 and 31493 = GCF of 31493 and 31488

Related Greatest Common Factor of 31488

Related Greatest Common Factor of 31493

Frequently Asked Questions on GCF of 31488 and 31493

1. What is the GCF of 31488 and 31493?

Answer: GCF of 31488 and 31493 is 1.

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 31493?

Answer: Factors of 31493 are 1, 7, 11, 77, 409, 2863, 4499, 31493. There are 8 integers that are factors of 31493. The greatest factor of 31493 is 31493.

4. How to Find the GCF of 31488 and 31493?

Answer:

Greatest Common Factor of 31488 and 31493 = 1

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 31493

31493 = 7 x 11 x 409

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 31488 and 31493 is 1