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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 4432 and 4437 is associative
GCF of 4432 and 4437 = GCF of 4437 and 4432
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