Greatest Common Factor of 31300 and 31303

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 31300, 31303 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31300 and 31303 is 1.

GCF(31300,31303) = 1

GCF of 31300 and 31303

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

GCF of:
and

Greatest Common Factor of 31300 and 31303

GCF of 31300 and 31303 is 1

Prime Factorization of 31300


2 31300
2 15650
5 7825
5 1565
313 313
1

Prime factors of 31300 are 2,5,313. Prime factorization of 31300 in exponential form is:

31300 = 22×52×3131

Prime Factorization of 31303


23 31303
1361 1361
1

Prime factors of 31303 are 23,1361. Prime factorization of 31303 in exponential form is:

31303 = 231×13611

∴ So by taking common prime factors GCF of 31300 and 31303 is 1

Greatest Common Factor of 31300 and 31303 by matching factors method

Factors of 31300

List of positive integer factors of 31300 that divides 31300 without a remainder.

1,2,4,5,10,20,25,50,100,313,626,1252,1565,3130,6260,7825,15650,31300

Factors of 31303

List of positive integer factors of 31303 that divides 31303 without a remainder.

1,23,1361,31303

Greatest Common Factor

We found the factors and prime factorization of 31300 and 31303. The biggest common factor number is the GCF number.
So the greatest common factor 31300 and 31303 is 1.

Also check out the Least Common Multiple of 31300 and 31303

Properties of GCF 31300 and 31303

(i) The GCF of 31300 and 31303 is associative

GCF of 31300 and 31303 = GCF of 31303 and 31300

Related Greatest Common Factor of 31300

Related Greatest Common Factor of 31303

Frequently Asked Questions on GCF of 31300 and 31303

1. What is the GCF of 31300 and 31303?

Answer: GCF of 31300 and 31303 is 1.

2. What are the Factors of 31300?

Answer: Factors of 31300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 313, 626, 1252, 1565, 3130, 6260, 7825, 15650, 31300. There are 18 integers that are factors of 31300. The greatest factor of 31300 is 31300.

3. What are the Factors of 31303?

Answer: Factors of 31303 are 1, 23, 1361, 31303. There are 4 integers that are factors of 31303. The greatest factor of 31303 is 31303.

4. How to Find the GCF of 31300 and 31303?

Answer:

Greatest Common Factor of 31300 and 31303 = 1

Step 1: Find the prime factorization of 31300

31300 = 2 x 2 x 5 x 5 x 313

Step 2: Find the prime factorization of 31303

31303 = 23 x 1361

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 31300 and 31303 is 1