Greatest Common Factor of 4432 and 4437

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 4432, 4437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4432 and 4437 is 1.

GCF(4432,4437) = 1

GCF of 4432 and 4437

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

GCF of:
and

Greatest Common Factor of 4432 and 4437

GCF of 4432 and 4437 is 1

Prime Factorization of 4432


2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 4432 are 2,277. Prime factorization of 4432 in exponential form is:

4432 = 24×2771

Prime Factorization of 4437


3 4437
3 1479
17 493
29 29
1

Prime factors of 4437 are 3,17,29. Prime factorization of 4437 in exponential form is:

4437 = 32×171×291

∴ So by taking common prime factors GCF of 4432 and 4437 is 1

Greatest Common Factor of 4432 and 4437 by matching factors method

Factors of 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1,2,4,8,16,277,554,1108,2216,4432

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Greatest Common Factor

We found the factors and prime factorization of 4432 and 4437. The biggest common factor number is the GCF number.
So the greatest common factor 4432 and 4437 is 1.

Also check out the Least Common Multiple of 4432 and 4437

Properties of GCF 4432 and 4437

(i) The GCF of 4432 and 4437 is associative

GCF of 4432 and 4437 = GCF of 4437 and 4432

Frequently Asked Questions on GCF of 4432 and 4437

1. What is the GCF of 4432 and 4437?

Answer: GCF of 4432 and 4437 is 1.

2. What are the Factors of 4432?

Answer: Factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432. There are 10 integers that are factors of 4432. The greatest factor of 4432 is 4432.

3. What are the Factors of 4437?

Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.

4. How to Find the GCF of 4432 and 4437?

Answer:

Greatest Common Factor of 4432 and 4437 = 1

Step 1: Find the prime factorization of 4432

4432 = 2 x 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 4432 and 4437 is 1