Greatest Common Factor of 4408 and 4414

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 4408, 4414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4408 and 4414 is 2.

GCF(4408,4414) = 2

GCF of 4408 and 4414

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

GCF of:
and

Greatest Common Factor of 4408 and 4414

GCF of 4408 and 4414 is 2

Prime Factorization of 4408


2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 4408 are 2,19,29. Prime factorization of 4408 in exponential form is:

4408 = 23×191×291

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

∴ So by taking common prime factors GCF of 4408 and 4414 is 2

Greatest Common Factor of 4408 and 4414 by matching factors method

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Factors of 4414

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

1,2,2207,4414

Greatest Common Factor

We found the factors and prime factorization of 4408 and 4414. The biggest common factor number is the GCF number.
So the greatest common factor 4408 and 4414 is 2.

Also check out the Least Common Multiple of 4408 and 4414

Properties of GCF 4408 and 4414

(i) The GCF of 4408 and 4414 is associative

GCF of 4408 and 4414 = GCF of 4414 and 4408

Related Greatest Common Factor of 4408

Related Greatest Common Factor of 4414

Frequently Asked Questions on GCF of 4408 and 4414

1. What is the GCF of 4408 and 4414?

Answer: GCF of 4408 and 4414 is 2.

2. What are the Factors of 4408?

Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.

3. 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.

4. How to Find the GCF of 4408 and 4414?

Answer:

Greatest Common Factor of 4408 and 4414 = 2

Step 1: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

Step 2: Find the prime factorization of 4414

4414 = 2 x 2207

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 4408 and 4414 is 2