Greatest Common Factor of 4414 and 4420

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 4414, 4420 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4414 and 4420 is 2.

GCF(4414,4420) = 2

GCF of 4414 and 4420

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

GCF of:
and

Greatest Common Factor of 4414 and 4420

GCF of 4414 and 4420 is 2

Prime Factorization of 4414


2 4414
2207 2207
1

Prime factors of 4414 are 2,2207. Prime factorization of 4414 in exponential form is:

4414 = 21×22071

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

∴ So by taking common prime factors GCF of 4414 and 4420 is 2

Greatest Common Factor of 4414 and 4420 by matching factors method

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1,2,2207,4414

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

Greatest Common Factor

We found the factors and prime factorization of 4414 and 4420. The biggest common factor number is the GCF number.
So the greatest common factor 4414 and 4420 is 2.

Also check out the Least Common Multiple of 4414 and 4420

Properties of GCF 4414 and 4420

(i) The GCF of 4414 and 4420 is associative

GCF of 4414 and 4420 = GCF of 4420 and 4414

Related Greatest Common Factor of 4414

Related Greatest Common Factor of 4420

Frequently Asked Questions on GCF of 4414 and 4420

1. What is the GCF of 4414 and 4420?

Answer: GCF of 4414 and 4420 is 2.

2. What are the Factors of 4414?

Answer: Factors of 4414 are 1, 2, 2207, 4414. There are 4 integers that are factors of 4414. The greatest factor of 4414 is 4414.

3. 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.

4. How to Find the GCF of 4414 and 4420?

Answer:

Greatest Common Factor of 4414 and 4420 = 2

Step 1: Find the prime factorization of 4414

4414 = 2 x 2207

Step 2: Find the prime factorization of 4420

4420 = 2 x 2 x 5 x 13 x 17

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 4414 and 4420 is 2