Greatest Common Factor of 4402 and 4408

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 4402, 4408 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4402 and 4408 is 2.

GCF(4402,4408) = 2

GCF of 4402 and 4408

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

GCF of:
and

Greatest Common Factor of 4402 and 4408

GCF of 4402 and 4408 is 2

Prime Factorization of 4402


2 4402
31 2201
71 71
1

Prime factors of 4402 are 2,31,71. Prime factorization of 4402 in exponential form is:

4402 = 21×311×711

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

∴ So by taking common prime factors GCF of 4402 and 4408 is 2

Greatest Common Factor of 4402 and 4408 by matching factors method

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1,2,31,62,71,142,2201,4402

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

Greatest Common Factor

We found the factors and prime factorization of 4402 and 4408. The biggest common factor number is the GCF number.
So the greatest common factor 4402 and 4408 is 2.

Also check out the Least Common Multiple of 4402 and 4408

Properties of GCF 4402 and 4408

(i) The GCF of 4402 and 4408 is associative

GCF of 4402 and 4408 = GCF of 4408 and 4402

Related Greatest Common Factor of 4402

Related Greatest Common Factor of 4408

Frequently Asked Questions on GCF of 4402 and 4408

1. What is the GCF of 4402 and 4408?

Answer: GCF of 4402 and 4408 is 2.

2. What are the Factors of 4402?

Answer: Factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402. There are 8 integers that are factors of 4402. The greatest factor of 4402 is 4402.

3. 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.

4. How to Find the GCF of 4402 and 4408?

Answer:

Greatest Common Factor of 4402 and 4408 = 2

Step 1: Find the prime factorization of 4402

4402 = 2 x 31 x 71

Step 2: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

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 4402 and 4408 is 2