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 4440, 4446 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4440 and 4446 is 6.
GCF(4440,4446) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4446
2 | 4446 |
3 | 2223 |
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 4446 are 2,3,13,19. Prime factorization of 4446 in exponential form is:
4446 = 21×32×131×191
∴ So by taking common prime factors GCF of 4440 and 4446 is 6
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
Factors of 4446
List of positive integer factors of 4446 that divides 4446 without a remainder.
1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Greatest Common Factor
We found the factors and prime factorization of 4440 and 4446. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4446 is 6.
Also check out the Least Common Multiple of 4440 and 4446
(i) The GCF of 4440 and 4446 is associative
GCF of 4440 and 4446 = GCF of 4446 and 4440
1. What is the GCF of 4440 and 4446?
Answer: GCF of 4440 and 4446 is 6.
2. 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.
3. What are the Factors of 4446?
Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.
4. How to Find the GCF of 4440 and 4446?
Answer:
Greatest Common Factor of 4440 and 4446 = 6
Step 1: Find the prime factorization of 4440
4440 = 2 x 2 x 2 x 3 x 5 x 37
Step 2: Find the prime factorization of 4446
4446 = 2 x 3 x 3 x 13 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4440 and 4446 is 6