Greatest Common Factor of 5410 and 5413

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, 5413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5410 and 5413 is 1.

GCF(5410,5413) = 1

GCF of 5410 and 5413

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

GCF of:
and

Greatest Common Factor of 5410 and 5413

GCF of 5410 and 5413 is 1

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 5413


5413 5413
1

Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:

5413 = 54131

∴ So by taking common prime factors GCF of 5410 and 5413 is 1

Greatest Common Factor of 5410 and 5413 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 5413

List of positive integer factors of 5413 that divides 5413 without a remainder.

1,5413

Greatest Common Factor

We found the factors and prime factorization of 5410 and 5413. The biggest common factor number is the GCF number.
So the greatest common factor 5410 and 5413 is 1.

Also check out the Least Common Multiple of 5410 and 5413

Properties of GCF 5410 and 5413

(i) The GCF of 5410 and 5413 is associative

GCF of 5410 and 5413 = GCF of 5413 and 5410

Frequently Asked Questions on GCF of 5410 and 5413

1. What is the GCF of 5410 and 5413?

Answer: GCF of 5410 and 5413 is 1.

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 5413?

Answer: Factors of 5413 are 1, 5413. There are 2 integers that are factors of 5413. The greatest factor of 5413 is 5413.

4. How to Find the GCF of 5410 and 5413?

Answer:

Greatest Common Factor of 5410 and 5413 = 1

Step 1: Find the prime factorization of 5410

5410 = 2 x 5 x 541

Step 2: Find the prime factorization of 5413

5413 = 5413

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 5410 and 5413 is 1