Greatest Common Factor of 5412 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 5412, 5420 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5412 and 5420 is 4.

GCF(5412,5420) = 4

GCF of 5412 and 5420

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

GCF of:
and

Greatest Common Factor of 5412 and 5420

GCF of 5412 and 5420 is 4

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

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 5412 and 5420 is 4

Greatest Common Factor of 5412 and 5420 by matching factors method

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

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 5412 and 5420. The biggest common factor number is the GCF number.
So the greatest common factor 5412 and 5420 is 4.

Also check out the Least Common Multiple of 5412 and 5420

Properties of GCF 5412 and 5420

(i) The GCF of 5412 and 5420 is associative

GCF of 5412 and 5420 = GCF of 5420 and 5412

Related Greatest Common Factor of 5412

Related Greatest Common Factor of 5420

Frequently Asked Questions on GCF of 5412 and 5420

1. What is the GCF of 5412 and 5420?

Answer: GCF of 5412 and 5420 is 4.

2. 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.

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 5412 and 5420?

Answer:

Greatest Common Factor of 5412 and 5420 = 4

Step 1: Find the prime factorization of 5412

5412 = 2 x 2 x 3 x 11 x 41

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 5412 and 5420 is 4