Greatest Common Factor of 5418 and 5426

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 5418, 5426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5418 and 5426 is 2.

GCF(5418,5426) = 2

GCF of 5418 and 5426

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

GCF of:
and

Greatest Common Factor of 5418 and 5426

GCF of 5418 and 5426 is 2

Prime Factorization of 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2,3,7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

Prime Factorization of 5426


2 5426
2713 2713
1

Prime factors of 5426 are 2,2713. Prime factorization of 5426 in exponential form is:

5426 = 21×27131

∴ So by taking common prime factors GCF of 5418 and 5426 is 2

Greatest Common Factor of 5418 and 5426 by matching factors method

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418

Factors of 5426

List of positive integer factors of 5426 that divides 5426 without a remainder.

1,2,2713,5426

Greatest Common Factor

We found the factors and prime factorization of 5418 and 5426. The biggest common factor number is the GCF number.
So the greatest common factor 5418 and 5426 is 2.

Also check out the Least Common Multiple of 5418 and 5426

Properties of GCF 5418 and 5426

(i) The GCF of 5418 and 5426 is associative

GCF of 5418 and 5426 = GCF of 5426 and 5418

Related Greatest Common Factor of 5418

Related Greatest Common Factor of 5426

Frequently Asked Questions on GCF of 5418 and 5426

1. What is the GCF of 5418 and 5426?

Answer: GCF of 5418 and 5426 is 2.

2. What are the Factors of 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

3. What are the Factors of 5426?

Answer: Factors of 5426 are 1, 2, 2713, 5426. There are 4 integers that are factors of 5426. The greatest factor of 5426 is 5426.

4. How to Find the GCF of 5418 and 5426?

Answer:

Greatest Common Factor of 5418 and 5426 = 2

Step 1: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 5426

5426 = 2 x 2713

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 5418 and 5426 is 2