Greatest Common Factor of 1426 and 1428

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 1426, 1428 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1426 and 1428 is 2.

GCF(1426,1428) = 2

GCF of 1426 and 1428

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

GCF of:
and

Greatest Common Factor of 1426 and 1428

GCF of 1426 and 1428 is 2

Prime Factorization of 1426


2 1426
23 713
31 31
1

Prime factors of 1426 are 2,23,31. Prime factorization of 1426 in exponential form is:

1426 = 21×231×311

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

∴ So by taking common prime factors GCF of 1426 and 1428 is 2

Greatest Common Factor of 1426 and 1428 by matching factors method

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

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

Greatest Common Factor

We found the factors and prime factorization of 1426 and 1428. The biggest common factor number is the GCF number.
So the greatest common factor 1426 and 1428 is 2.

Also check out the Least Common Multiple of 1426 and 1428

Properties of GCF 1426 and 1428

(i) The GCF of 1426 and 1428 is associative

GCF of 1426 and 1428 = GCF of 1428 and 1426

Related Greatest Common Factor of 1426

Related Greatest Common Factor of 1428

Frequently Asked Questions on GCF of 1426 and 1428

1. What is the GCF of 1426 and 1428?

Answer: GCF of 1426 and 1428 is 2.

2. What are the Factors of 1426?

Answer: Factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426. There are 8 integers that are factors of 1426. The greatest factor of 1426 is 1426.

3. 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.

4. How to Find the GCF of 1426 and 1428?

Answer:

Greatest Common Factor of 1426 and 1428 = 2

Step 1: Find the prime factorization of 1426

1426 = 2 x 23 x 31

Step 2: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

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 1426 and 1428 is 2