Greatest Common Factor of 1418 and 1426

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 1418, 1426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1418 and 1426 is 2.

GCF(1418,1426) = 2

GCF of 1418 and 1426

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

GCF of:
and

Greatest Common Factor of 1418 and 1426

GCF of 1418 and 1426 is 2

Prime Factorization of 1418


2 1418
709 709
1

Prime factors of 1418 are 2,709. Prime factorization of 1418 in exponential form is:

1418 = 21×7091

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

∴ So by taking common prime factors GCF of 1418 and 1426 is 2

Greatest Common Factor of 1418 and 1426 by matching factors method

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Factors of 1426

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

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

Greatest Common Factor

We found the factors and prime factorization of 1418 and 1426. The biggest common factor number is the GCF number.
So the greatest common factor 1418 and 1426 is 2.

Also check out the Least Common Multiple of 1418 and 1426

Properties of GCF 1418 and 1426

(i) The GCF of 1418 and 1426 is associative

GCF of 1418 and 1426 = GCF of 1426 and 1418

Related Greatest Common Factor of 1418

Related Greatest Common Factor of 1426

Frequently Asked Questions on GCF of 1418 and 1426

1. What is the GCF of 1418 and 1426?

Answer: GCF of 1418 and 1426 is 2.

2. What are the Factors of 1418?

Answer: Factors of 1418 are 1, 2, 709, 1418. There are 4 integers that are factors of 1418. The greatest factor of 1418 is 1418.

3. 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.

4. How to Find the GCF of 1418 and 1426?

Answer:

Greatest Common Factor of 1418 and 1426 = 2

Step 1: Find the prime factorization of 1418

1418 = 2 x 709

Step 2: Find the prime factorization of 1426

1426 = 2 x 23 x 31

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 1418 and 1426 is 2