Greatest Common Factor of 5408 and 5412

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, 5412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5408 and 5412 is 4.

GCF(5408,5412) = 4

GCF of 5408 and 5412

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

GCF of:
and

Greatest Common Factor of 5408 and 5412

GCF of 5408 and 5412 is 4

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 5412


2 5412
2 2706
3 1353
11 451
41 41
1

Prime factors of 5412 are 2,3,11,41. Prime factorization of 5412 in exponential form is:

5412 = 22×31×111×411

∴ So by taking common prime factors GCF of 5408 and 5412 is 4

Greatest Common Factor of 5408 and 5412 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 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412

Greatest Common Factor

We found the factors and prime factorization of 5408 and 5412. The biggest common factor number is the GCF number.
So the greatest common factor 5408 and 5412 is 4.

Also check out the Least Common Multiple of 5408 and 5412

Properties of GCF 5408 and 5412

(i) The GCF of 5408 and 5412 is associative

GCF of 5408 and 5412 = GCF of 5412 and 5408

Related Greatest Common Factor of 5408

Related Greatest Common Factor of 5412

Frequently Asked Questions on GCF of 5408 and 5412

1. What is the GCF of 5408 and 5412?

Answer: GCF of 5408 and 5412 is 4.

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 5412?

Answer: Factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412. There are 24 integers that are factors of 5412. The greatest factor of 5412 is 5412.

4. How to Find the GCF of 5408 and 5412?

Answer:

Greatest Common Factor of 5408 and 5412 = 4

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 5412

5412 = 2 x 2 x 3 x 11 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5408 and 5412 is 4