Greatest Common Factor of 31473 and 31475

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 31473, 31475 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31473 and 31475 is 1.

GCF(31473,31475) = 1

GCF of 31473 and 31475

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

GCF of:
and

Greatest Common Factor of 31473 and 31475

GCF of 31473 and 31475 is 1

Prime Factorization of 31473


3 31473
3 10491
13 3497
269 269
1

Prime factors of 31473 are 3,13,269. Prime factorization of 31473 in exponential form is:

31473 = 32×131×2691

Prime Factorization of 31475


5 31475
5 6295
1259 1259
1

Prime factors of 31475 are 5,1259. Prime factorization of 31475 in exponential form is:

31475 = 52×12591

∴ So by taking common prime factors GCF of 31473 and 31475 is 1

Greatest Common Factor of 31473 and 31475 by matching factors method

Factors of 31473

List of positive integer factors of 31473 that divides 31473 without a remainder.

1,3,9,13,39,117,269,807,2421,3497,10491,31473

Factors of 31475

List of positive integer factors of 31475 that divides 31475 without a remainder.

1,5,25,1259,6295,31475

Greatest Common Factor

We found the factors and prime factorization of 31473 and 31475. The biggest common factor number is the GCF number.
So the greatest common factor 31473 and 31475 is 1.

Also check out the Least Common Multiple of 31473 and 31475

Properties of GCF 31473 and 31475

(i) The GCF of 31473 and 31475 is associative

GCF of 31473 and 31475 = GCF of 31475 and 31473

Related Greatest Common Factor of 31473

Related Greatest Common Factor of 31475

Frequently Asked Questions on GCF of 31473 and 31475

1. What is the GCF of 31473 and 31475?

Answer: GCF of 31473 and 31475 is 1.

2. What are the Factors of 31473?

Answer: Factors of 31473 are 1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491, 31473. There are 12 integers that are factors of 31473. The greatest factor of 31473 is 31473.

3. What are the Factors of 31475?

Answer: Factors of 31475 are 1, 5, 25, 1259, 6295, 31475. There are 6 integers that are factors of 31475. The greatest factor of 31475 is 31475.

4. How to Find the GCF of 31473 and 31475?

Answer:

Greatest Common Factor of 31473 and 31475 = 1

Step 1: Find the prime factorization of 31473

31473 = 3 x 3 x 13 x 269

Step 2: Find the prime factorization of 31475

31475 = 5 x 5 x 1259

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 31473 and 31475 is 1