Greatest Common Factor of 31481 and 31488

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 31481, 31488 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31481 and 31488 is 1.

GCF(31481,31488) = 1

GCF of 31481 and 31488

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

GCF of:
and

Greatest Common Factor of 31481 and 31488

GCF of 31481 and 31488 is 1

Prime Factorization of 31481


31481 31481
1

Prime factors of 31481 are 31481. Prime factorization of 31481 in exponential form is:

31481 = 314811

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.Prime factorization of 31488 in exponential form is:

31488 = 28×31×411

∴ So by taking common prime factors GCF of 31481 and 31488 is 1

Greatest Common Factor of 31481 and 31488 by matching factors method

Factors of 31481

List of positive integer factors of 31481 that divides 31481 without a remainder.

1,31481

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

Greatest Common Factor

We found the factors and prime factorization of 31481 and 31488. The biggest common factor number is the GCF number.
So the greatest common factor 31481 and 31488 is 1.

Also check out the Least Common Multiple of 31481 and 31488

Properties of GCF 31481 and 31488

(i) The GCF of 31481 and 31488 is associative

GCF of 31481 and 31488 = GCF of 31488 and 31481

Related Greatest Common Factor of 31481

Related Greatest Common Factor of 31488

Frequently Asked Questions on GCF of 31481 and 31488

1. What is the GCF of 31481 and 31488?

Answer: GCF of 31481 and 31488 is 1.

2. What are the Factors of 31481?

Answer: Factors of 31481 are 1, 31481. There are 2 integers that are factors of 31481. The greatest factor of 31481 is 31481.

3. 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.

4. How to Find the GCF of 31481 and 31488?

Answer:

Greatest Common Factor of 31481 and 31488 = 1

Step 1: Find the prime factorization of 31481

31481 = 31481

Step 2: 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 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 31481 and 31488 is 1