Greatest Common Factor of 1426 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 1426, 1429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1426 and 1429 is 1.

GCF(1426,1429) = 1

GCF of 1426 and 1429

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

GCF of:
and

Greatest Common Factor of 1426 and 1429

GCF of 1426 and 1429 is 1

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 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 1426 and 1429 is 1

Greatest Common Factor of 1426 and 1429 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 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 1426 and 1429. The biggest common factor number is the GCF number.
So the greatest common factor 1426 and 1429 is 1.

Also check out the Least Common Multiple of 1426 and 1429

Properties of GCF 1426 and 1429

(i) The GCF of 1426 and 1429 is associative

GCF of 1426 and 1429 = GCF of 1429 and 1426

Related Greatest Common Factor of 1426

Related Greatest Common Factor of 1429

Frequently Asked Questions on GCF of 1426 and 1429

1. What is the GCF of 1426 and 1429?

Answer: GCF of 1426 and 1429 is 1.

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 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 1426 and 1429?

Answer:

Greatest Common Factor of 1426 and 1429 = 1

Step 1: Find the prime factorization of 1426

1426 = 2 x 23 x 31

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 1426 and 1429 is 1