Greatest Common Factor of 5420 and 5424

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 5420, 5424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5420 and 5424 is 4.

GCF(5420,5424) = 4

GCF of 5420 and 5424

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

GCF of:
and

Greatest Common Factor of 5420 and 5424

GCF of 5420 and 5424 is 4

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

Prime Factorization of 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2,3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

∴ So by taking common prime factors GCF of 5420 and 5424 is 4

Greatest Common Factor of 5420 and 5424 by matching factors method

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

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Greatest Common Factor

We found the factors and prime factorization of 5420 and 5424. The biggest common factor number is the GCF number.
So the greatest common factor 5420 and 5424 is 4.

Also check out the Least Common Multiple of 5420 and 5424

Properties of GCF 5420 and 5424

(i) The GCF of 5420 and 5424 is associative

GCF of 5420 and 5424 = GCF of 5424 and 5420

Related Greatest Common Factor of 5420

Related Greatest Common Factor of 5424

Frequently Asked Questions on GCF of 5420 and 5424

1. What is the GCF of 5420 and 5424?

Answer: GCF of 5420 and 5424 is 4.

2. 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.

3. What are the Factors of 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

4. How to Find the GCF of 5420 and 5424?

Answer:

Greatest Common Factor of 5420 and 5424 = 4

Step 1: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

Step 2: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

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 5420 and 5424 is 4