Greatest Common Factor of 31428 and 31434

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 31428, 31434 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31428 and 31434 is 6.

GCF(31428,31434) = 6

GCF of 31428 and 31434

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

GCF of:
and

Greatest Common Factor of 31428 and 31434

GCF of 31428 and 31434 is 6

Prime Factorization of 31428


2 31428
2 15714
3 7857
3 2619
3 873
3 291
97 97
1

Prime factors of 31428 are 2,3,97. Prime factorization of 31428 in exponential form is:

31428 = 22×34×971

Prime Factorization of 31434


2 31434
3 15717
13 5239
13 403
31 31
1

Prime factors of 31434 are 2,3,13,31. Prime factorization of 31434 in exponential form is:

31434 = 21×31×132×311

∴ So by taking common prime factors GCF of 31428 and 31434 is 6

Greatest Common Factor of 31428 and 31434 by matching factors method

Factors of 31428

List of positive integer factors of 31428 that divides 31428 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,97,108,162,194,291,324,388,582,873,1164,1746,2619,3492,5238,7857,10476,15714,31428

Factors of 31434

List of positive integer factors of 31434 that divides 31434 without a remainder.

1,2,3,6,13,26,31,39,62,78,93,169,186,338,403,507,806,1014,1209,2418,5239,10478,15717,31434

Greatest Common Factor

We found the factors and prime factorization of 31428 and 31434. The biggest common factor number is the GCF number.
So the greatest common factor 31428 and 31434 is 6.

Also check out the Least Common Multiple of 31428 and 31434

Properties of GCF 31428 and 31434

(i) The GCF of 31428 and 31434 is associative

GCF of 31428 and 31434 = GCF of 31434 and 31428

Related Greatest Common Factor of 31428

Related Greatest Common Factor of 31434

Frequently Asked Questions on GCF of 31428 and 31434

1. What is the GCF of 31428 and 31434?

Answer: GCF of 31428 and 31434 is 6.

2. What are the Factors of 31428?

Answer: Factors of 31428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 97, 108, 162, 194, 291, 324, 388, 582, 873, 1164, 1746, 2619, 3492, 5238, 7857, 10476, 15714, 31428. There are 30 integers that are factors of 31428. The greatest factor of 31428 is 31428.

3. What are the Factors of 31434?

Answer: Factors of 31434 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717, 31434. There are 24 integers that are factors of 31434. The greatest factor of 31434 is 31434.

4. How to Find the GCF of 31428 and 31434?

Answer:

Greatest Common Factor of 31428 and 31434 = 6

Step 1: Find the prime factorization of 31428

31428 = 2 x 2 x 3 x 3 x 3 x 3 x 97

Step 2: Find the prime factorization of 31434

31434 = 2 x 3 x 13 x 13 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 31428 and 31434 is 6