Greatest Common Factor of 31438 and 31446

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 31438, 31446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31438 and 31446 is 2.

GCF(31438,31446) = 2

GCF of 31438 and 31446

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

GCF of:
and

Greatest Common Factor of 31438 and 31446

GCF of 31438 and 31446 is 2

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

Prime Factorization of 31446


2 31446
3 15723
3 5241
1747 1747
1

Prime factors of 31446 are 2,3,1747. Prime factorization of 31446 in exponential form is:

31446 = 21×32×17471

∴ So by taking common prime factors GCF of 31438 and 31446 is 2

Greatest Common Factor of 31438 and 31446 by matching factors method

Factors of 31438

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

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

Factors of 31446

List of positive integer factors of 31446 that divides 31446 without a remainder.

1,2,3,6,9,18,1747,3494,5241,10482,15723,31446

Greatest Common Factor

We found the factors and prime factorization of 31438 and 31446. The biggest common factor number is the GCF number.
So the greatest common factor 31438 and 31446 is 2.

Also check out the Least Common Multiple of 31438 and 31446

Properties of GCF 31438 and 31446

(i) The GCF of 31438 and 31446 is associative

GCF of 31438 and 31446 = GCF of 31446 and 31438

Related Greatest Common Factor of 31438

Related Greatest Common Factor of 31446

Frequently Asked Questions on GCF of 31438 and 31446

1. What is the GCF of 31438 and 31446?

Answer: GCF of 31438 and 31446 is 2.

2. 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.

3. What are the Factors of 31446?

Answer: Factors of 31446 are 1, 2, 3, 6, 9, 18, 1747, 3494, 5241, 10482, 15723, 31446. There are 12 integers that are factors of 31446. The greatest factor of 31446 is 31446.

4. How to Find the GCF of 31438 and 31446?

Answer:

Greatest Common Factor of 31438 and 31446 = 2

Step 1: Find the prime factorization of 31438

31438 = 2 x 11 x 1429

Step 2: Find the prime factorization of 31446

31446 = 2 x 3 x 3 x 1747

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 31438 and 31446 is 2