Greatest Common Factor of 5408 and 5414

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 5408, 5414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5408 and 5414 is 2.

GCF(5408,5414) = 2

GCF of 5408 and 5414

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

GCF of:
and

Greatest Common Factor of 5408 and 5414

GCF of 5408 and 5414 is 2

Prime Factorization of 5408


2 5408
2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 5408 are 2,13. Prime factorization of 5408 in exponential form is:

5408 = 25×132

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

∴ So by taking common prime factors GCF of 5408 and 5414 is 2

Greatest Common Factor of 5408 and 5414 by matching factors method

Factors of 5408

List of positive integer factors of 5408 that divides 5408 without a remainder.

1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408

Factors of 5414

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

1,2,2707,5414

Greatest Common Factor

We found the factors and prime factorization of 5408 and 5414. The biggest common factor number is the GCF number.
So the greatest common factor 5408 and 5414 is 2.

Also check out the Least Common Multiple of 5408 and 5414

Properties of GCF 5408 and 5414

(i) The GCF of 5408 and 5414 is associative

GCF of 5408 and 5414 = GCF of 5414 and 5408

Related Greatest Common Factor of 5408

Related Greatest Common Factor of 5414

Frequently Asked Questions on GCF of 5408 and 5414

1. What is the GCF of 5408 and 5414?

Answer: GCF of 5408 and 5414 is 2.

2. What are the Factors of 5408?

Answer: Factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408. There are 18 integers that are factors of 5408. The greatest factor of 5408 is 5408.

3. 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.

4. How to Find the GCF of 5408 and 5414?

Answer:

Greatest Common Factor of 5408 and 5414 = 2

Step 1: Find the prime factorization of 5408

5408 = 2 x 2 x 2 x 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 5414

5414 = 2 x 2707

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 5408 and 5414 is 2