Greatest Common Factor of 4420 and 4424

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 4420, 4424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4420 and 4424 is 4.

GCF(4420,4424) = 4

GCF of 4420 and 4424

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

GCF of:
and

Greatest Common Factor of 4420 and 4424

GCF of 4420 and 4424 is 4

Prime Factorization of 4420


2 4420
2 2210
5 1105
13 221
17 17
1

Prime factors of 4420 are 2,5,13,17. Prime factorization of 4420 in exponential form is:

4420 = 22×51×131×171

Prime Factorization of 4424


2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 4424 are 2,7,79. Prime factorization of 4424 in exponential form is:

4424 = 23×71×791

∴ So by taking common prime factors GCF of 4420 and 4424 is 4

Greatest Common Factor of 4420 and 4424 by matching factors method

Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424

Greatest Common Factor

We found the factors and prime factorization of 4420 and 4424. The biggest common factor number is the GCF number.
So the greatest common factor 4420 and 4424 is 4.

Also check out the Least Common Multiple of 4420 and 4424

Properties of GCF 4420 and 4424

(i) The GCF of 4420 and 4424 is associative

GCF of 4420 and 4424 = GCF of 4424 and 4420

Related Greatest Common Factor of 4420

Related Greatest Common Factor of 4424

Frequently Asked Questions on GCF of 4420 and 4424

1. What is the GCF of 4420 and 4424?

Answer: GCF of 4420 and 4424 is 4.

2. What are the Factors of 4420?

Answer: Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420. There are 24 integers that are factors of 4420. The greatest factor of 4420 is 4420.

3. What are the Factors of 4424?

Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.

4. How to Find the GCF of 4420 and 4424?

Answer:

Greatest Common Factor of 4420 and 4424 = 4

Step 1: Find the prime factorization of 4420

4420 = 2 x 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

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 4420 and 4424 is 4