Greatest Common Factor of 31427 and 31431

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 31427, 31431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31427 and 31431 is 1.

GCF(31427,31431) = 1

GCF of 31427 and 31431

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

GCF of:
and

Greatest Common Factor of 31427 and 31431

GCF of 31427 and 31431 is 1

Prime Factorization of 31427


11 31427
2857 2857
1

Prime factors of 31427 are 11,2857. Prime factorization of 31427 in exponential form is:

31427 = 111×28571

Prime Factorization of 31431


3 31431
10477 10477
1

Prime factors of 31431 are 3,10477. Prime factorization of 31431 in exponential form is:

31431 = 31×104771

∴ So by taking common prime factors GCF of 31427 and 31431 is 1

Greatest Common Factor of 31427 and 31431 by matching factors method

Factors of 31427

List of positive integer factors of 31427 that divides 31427 without a remainder.

1,11,2857,31427

Factors of 31431

List of positive integer factors of 31431 that divides 31431 without a remainder.

1,3,10477,31431

Greatest Common Factor

We found the factors and prime factorization of 31427 and 31431. The biggest common factor number is the GCF number.
So the greatest common factor 31427 and 31431 is 1.

Also check out the Least Common Multiple of 31427 and 31431

Properties of GCF 31427 and 31431

(i) The GCF of 31427 and 31431 is associative

GCF of 31427 and 31431 = GCF of 31431 and 31427

Related Greatest Common Factor of 31427

Related Greatest Common Factor of 31431

Frequently Asked Questions on GCF of 31427 and 31431

1. What is the GCF of 31427 and 31431?

Answer: GCF of 31427 and 31431 is 1.

2. What are the Factors of 31427?

Answer: Factors of 31427 are 1, 11, 2857, 31427. There are 4 integers that are factors of 31427. The greatest factor of 31427 is 31427.

3. What are the Factors of 31431?

Answer: Factors of 31431 are 1, 3, 10477, 31431. There are 4 integers that are factors of 31431. The greatest factor of 31431 is 31431.

4. How to Find the GCF of 31427 and 31431?

Answer:

Greatest Common Factor of 31427 and 31431 = 1

Step 1: Find the prime factorization of 31427

31427 = 11 x 2857

Step 2: Find the prime factorization of 31431

31431 = 3 x 10477

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 31427 and 31431 is 1