Greatest Common Factor of 1428 and 1431

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 1428, 1431 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1428 and 1431 is 3.

GCF(1428,1431) = 3

GCF of 1428 and 1431

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

GCF of:
and

Greatest Common Factor of 1428 and 1431

GCF of 1428 and 1431 is 3

Prime Factorization of 1428


2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 1428 are 2,3,7,17. Prime factorization of 1428 in exponential form is:

1428 = 22×31×71×171

Prime Factorization of 1431


3 1431
3 477
3 159
53 53
1

Prime factors of 1431 are 3,53. Prime factorization of 1431 in exponential form is:

1431 = 33×531

∴ So by taking common prime factors GCF of 1428 and 1431 is 3

Greatest Common Factor of 1428 and 1431 by matching factors method

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Factors of 1431

List of positive integer factors of 1431 that divides 1431 without a remainder.

1,3,9,27,53,159,477,1431

Greatest Common Factor

We found the factors and prime factorization of 1428 and 1431. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1431 is 3.

Also check out the Least Common Multiple of 1428 and 1431

Properties of GCF 1428 and 1431

(i) The GCF of 1428 and 1431 is associative

GCF of 1428 and 1431 = GCF of 1431 and 1428

Related Greatest Common Factor of 1428

Related Greatest Common Factor of 1431

Frequently Asked Questions on GCF of 1428 and 1431

1. What is the GCF of 1428 and 1431?

Answer: GCF of 1428 and 1431 is 3.

2. What are the Factors of 1428?

Answer: Factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428. There are 24 integers that are factors of 1428. The greatest factor of 1428 is 1428.

3. What are the Factors of 1431?

Answer: Factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431. There are 8 integers that are factors of 1431. The greatest factor of 1431 is 1431.

4. How to Find the GCF of 1428 and 1431?

Answer:

Greatest Common Factor of 1428 and 1431 = 3

Step 1: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 1431

1431 = 3 x 3 x 3 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1428 and 1431 is 3