Greatest Common Factor of 31477 and 31482

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 31477, 31482 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31477 and 31482 is 1.

GCF(31477,31482) = 1

GCF of 31477 and 31482

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

GCF of:
and

Greatest Common Factor of 31477 and 31482

GCF of 31477 and 31482 is 1

Prime Factorization of 31477


31477 31477
1

Prime factors of 31477 are 31477. Prime factorization of 31477 in exponential form is:

31477 = 314771

Prime Factorization of 31482


2 31482
3 15741
3 5247
3 1749
11 583
53 53
1

Prime factors of 31482 are 2.Prime factorization of 31482 in exponential form is:

31482 = 21×33×111×531

∴ So by taking common prime factors GCF of 31477 and 31482 is 1

Greatest Common Factor of 31477 and 31482 by matching factors method

Factors of 31477

List of positive integer factors of 31477 that divides 31477 without a remainder.

1,31477

Factors of 31482

List of positive integer factors of 31482 that divides 31482 without a remainder.

1,2,3,6,9,11,18,22,27,33,53,54,66,99,106,159,198,297,318,477,583,594,954,1166,1431,1749,2862,3498,5247,10494,15741,31482

Greatest Common Factor

We found the factors and prime factorization of 31477 and 31482. The biggest common factor number is the GCF number.
So the greatest common factor 31477 and 31482 is 1.

Also check out the Least Common Multiple of 31477 and 31482

Properties of GCF 31477 and 31482

(i) The GCF of 31477 and 31482 is associative

GCF of 31477 and 31482 = GCF of 31482 and 31477

Frequently Asked Questions on GCF of 31477 and 31482

1. What is the GCF of 31477 and 31482?

Answer: GCF of 31477 and 31482 is 1.

2. What are the Factors of 31477?

Answer: Factors of 31477 are 1, 31477. There are 2 integers that are factors of 31477. The greatest factor of 31477 is 31477.

3. What are the Factors of 31482?

Answer: Factors of 31482 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 53, 54, 66, 99, 106, 159, 198, 297, 318, 477, 583, 594, 954, 1166, 1431, 1749, 2862, 3498, 5247, 10494, 15741, 31482. There are 32 integers that are factors of 31482. The greatest factor of 31482 is 31482.

4. How to Find the GCF of 31477 and 31482?

Answer:

Greatest Common Factor of 31477 and 31482 = 1

Step 1: Find the prime factorization of 31477

31477 = 31477

Step 2: Find the prime factorization of 31482

31482 = 2 x 3 x 3 x 3 x 11 x 53

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 31477 and 31482 is 1