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 4438, 4440 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4438 and 4440 is 2.
GCF(4438,4440) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4438
2 | 4438 |
7 | 2219 |
317 | 317 |
1 |
Prime factors of 4438 are 2,7,317. Prime factorization of 4438 in exponential form is:
4438 = 21×71×3171
Prime Factorization of 4440
2 | 4440 |
2 | 2220 |
2 | 1110 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 4440 are 2,3,5,37. Prime factorization of 4440 in exponential form is:
4440 = 23×31×51×371
∴ So by taking common prime factors GCF of 4438 and 4440 is 2
Factors of 4438
List of positive integer factors of 4438 that divides 4438 without a remainder.
1,2,7,14,317,634,2219,4438
Factors of 4440
List of positive integer factors of 4440 that divides 4440 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440
Greatest Common Factor
We found the factors and prime factorization of 4438 and 4440. The biggest common factor number is the GCF number.
So the greatest common factor 4438 and 4440 is 2.
Also check out the Least Common Multiple of 4438 and 4440
(i) The GCF of 4438 and 4440 is associative
GCF of 4438 and 4440 = GCF of 4440 and 4438
1. What is the GCF of 4438 and 4440?
Answer: GCF of 4438 and 4440 is 2.
2. What are the Factors of 4438?
Answer: Factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438. There are 8 integers that are factors of 4438. The greatest factor of 4438 is 4438.
3. What are the Factors of 4440?
Answer: Factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440. There are 32 integers that are factors of 4440. The greatest factor of 4440 is 4440.
4. How to Find the GCF of 4438 and 4440?
Answer:
Greatest Common Factor of 4438 and 4440 = 2
Step 1: Find the prime factorization of 4438
4438 = 2 x 7 x 317
Step 2: Find the prime factorization of 4440
4440 = 2 x 2 x 2 x 3 x 5 x 37
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 4438 and 4440 is 2