Greatest Common Factor of 5414 and 5420

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 5414, 5420 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5414 and 5420 is 2.

GCF(5414,5420) = 2

GCF of 5414 and 5420

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

GCF of:
and

Greatest Common Factor of 5414 and 5420

GCF of 5414 and 5420 is 2

Prime Factorization of 5414


2 5414
2707 2707
1

Prime factors of 5414 are 2,2707. Prime factorization of 5414 in exponential form is:

5414 = 21×27071

Prime Factorization of 5420


2 5420
2 2710
5 1355
271 271
1

Prime factors of 5420 are 2,5,271. Prime factorization of 5420 in exponential form is:

5420 = 22×51×2711

∴ So by taking common prime factors GCF of 5414 and 5420 is 2

Greatest Common Factor of 5414 and 5420 by matching factors method

Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1,2,2707,5414

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors and prime factorization of 5414 and 5420. The biggest common factor number is the GCF number.
So the greatest common factor 5414 and 5420 is 2.

Also check out the Least Common Multiple of 5414 and 5420

Properties of GCF 5414 and 5420

(i) The GCF of 5414 and 5420 is associative

GCF of 5414 and 5420 = GCF of 5420 and 5414

Related Greatest Common Factor of 5414

Related Greatest Common Factor of 5420

Frequently Asked Questions on GCF of 5414 and 5420

1. What is the GCF of 5414 and 5420?

Answer: GCF of 5414 and 5420 is 2.

2. What are the Factors of 5414?

Answer: Factors of 5414 are 1, 2, 2707, 5414. There are 4 integers that are factors of 5414. The greatest factor of 5414 is 5414.

3. What are the Factors of 5420?

Answer: Factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420. There are 12 integers that are factors of 5420. The greatest factor of 5420 is 5420.

4. How to Find the GCF of 5414 and 5420?

Answer:

Greatest Common Factor of 5414 and 5420 = 2

Step 1: Find the prime factorization of 5414

5414 = 2 x 2707

Step 2: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

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 5414 and 5420 is 2