Greatest Common Factor of 31430 and 31438

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 31430, 31438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31430 and 31438 is 2.

GCF(31430,31438) = 2

GCF of 31430 and 31438

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

GCF of:
and

Greatest Common Factor of 31430 and 31438

GCF of 31430 and 31438 is 2

Prime Factorization of 31430


2 31430
5 15715
7 3143
449 449
1

Prime factors of 31430 are 2,5,7,449. Prime factorization of 31430 in exponential form is:

31430 = 21×51×71×4491

Prime Factorization of 31438


2 31438
11 15719
1429 1429
1

Prime factors of 31438 are 2,11,1429. Prime factorization of 31438 in exponential form is:

31438 = 21×111×14291

∴ So by taking common prime factors GCF of 31430 and 31438 is 2

Greatest Common Factor of 31430 and 31438 by matching factors method

Factors of 31430

List of positive integer factors of 31430 that divides 31430 without a remainder.

1,2,5,7,10,14,35,70,449,898,2245,3143,4490,6286,15715,31430

Factors of 31438

List of positive integer factors of 31438 that divides 31438 without a remainder.

1,2,11,22,1429,2858,15719,31438

Greatest Common Factor

We found the factors and prime factorization of 31430 and 31438. The biggest common factor number is the GCF number.
So the greatest common factor 31430 and 31438 is 2.

Also check out the Least Common Multiple of 31430 and 31438

Properties of GCF 31430 and 31438

(i) The GCF of 31430 and 31438 is associative

GCF of 31430 and 31438 = GCF of 31438 and 31430

Related Greatest Common Factor of 31430

Related Greatest Common Factor of 31438

Frequently Asked Questions on GCF of 31430 and 31438

1. What is the GCF of 31430 and 31438?

Answer: GCF of 31430 and 31438 is 2.

2. What are the Factors of 31430?

Answer: Factors of 31430 are 1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715, 31430. There are 16 integers that are factors of 31430. The greatest factor of 31430 is 31430.

3. What are the Factors of 31438?

Answer: Factors of 31438 are 1, 2, 11, 22, 1429, 2858, 15719, 31438. There are 8 integers that are factors of 31438. The greatest factor of 31438 is 31438.

4. How to Find the GCF of 31430 and 31438?

Answer:

Greatest Common Factor of 31430 and 31438 = 2

Step 1: Find the prime factorization of 31430

31430 = 2 x 5 x 7 x 449

Step 2: Find the prime factorization of 31438

31438 = 2 x 11 x 1429

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 31430 and 31438 is 2