Greatest Common Factor of 5410 and 5418

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 5410, 5418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5410 and 5418 is 2.

GCF(5410,5418) = 2

GCF of 5410 and 5418

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

GCF of:
and

Greatest Common Factor of 5410 and 5418

GCF of 5410 and 5418 is 2

Prime Factorization of 5410


2 5410
5 2705
541 541
1

Prime factors of 5410 are 2,5,541. Prime factorization of 5410 in exponential form is:

5410 = 21×51×5411

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

∴ So by taking common prime factors GCF of 5410 and 5418 is 2

Greatest Common Factor of 5410 and 5418 by matching factors method

Factors of 5410

List of positive integer factors of 5410 that divides 5410 without a remainder.

1,2,5,10,541,1082,2705,5410

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

Greatest Common Factor

We found the factors and prime factorization of 5410 and 5418. The biggest common factor number is the GCF number.
So the greatest common factor 5410 and 5418 is 2.

Also check out the Least Common Multiple of 5410 and 5418

Properties of GCF 5410 and 5418

(i) The GCF of 5410 and 5418 is associative

GCF of 5410 and 5418 = GCF of 5418 and 5410

Related Greatest Common Factor of 5410

Related Greatest Common Factor of 5418

Frequently Asked Questions on GCF of 5410 and 5418

1. What is the GCF of 5410 and 5418?

Answer: GCF of 5410 and 5418 is 2.

2. What are the Factors of 5410?

Answer: Factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410. There are 8 integers that are factors of 5410. The greatest factor of 5410 is 5410.

3. 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.

4. How to Find the GCF of 5410 and 5418?

Answer:

Greatest Common Factor of 5410 and 5418 = 2

Step 1: Find the prime factorization of 5410

5410 = 2 x 5 x 541

Step 2: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

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 5410 and 5418 is 2