Greatest Common Factor of 1428 and 1429

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, 1429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1428 and 1429 is 1.

GCF(1428,1429) = 1

GCF of 1428 and 1429

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

GCF of:
and

Greatest Common Factor of 1428 and 1429

GCF of 1428 and 1429 is 1

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 1429


1429 1429
1

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

∴ So by taking common prime factors GCF of 1428 and 1429 is 1

Greatest Common Factor of 1428 and 1429 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 1429

List of positive integer factors of 1429 that divides 1429 without a remainder.

1,1429

Greatest Common Factor

We found the factors and prime factorization of 1428 and 1429. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1429 is 1.

Also check out the Least Common Multiple of 1428 and 1429

Properties of GCF 1428 and 1429

(i) The GCF of 1428 and 1429 is associative

GCF of 1428 and 1429 = GCF of 1429 and 1428

Related Greatest Common Factor of 1428

Related Greatest Common Factor of 1429

Frequently Asked Questions on GCF of 1428 and 1429

1. What is the GCF of 1428 and 1429?

Answer: GCF of 1428 and 1429 is 1.

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 1429?

Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.

4. How to Find the GCF of 1428 and 1429?

Answer:

Greatest Common Factor of 1428 and 1429 = 1

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 1429

1429 = 1429

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1428 and 1429 is 1