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 5440, 5448 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5440 and 5448 is 8.
GCF(5440,5448) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5440
2 | 5440 |
2 | 2720 |
2 | 1360 |
2 | 680 |
2 | 340 |
2 | 170 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 5440 are 2,5,17. Prime factorization of 5440 in exponential form is:
5440 = 26×51×171
Prime Factorization of 5448
2 | 5448 |
2 | 2724 |
2 | 1362 |
3 | 681 |
227 | 227 |
1 |
Prime factors of 5448 are 2,3,227. Prime factorization of 5448 in exponential form is:
5448 = 23×31×2271
∴ So by taking common prime factors GCF of 5440 and 5448 is 8
Factors of 5440
List of positive integer factors of 5440 that divides 5440 without a remainder.
1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440
Factors of 5448
List of positive integer factors of 5448 that divides 5448 without a remainder.
1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448
Greatest Common Factor
We found the factors and prime factorization of 5440 and 5448. The biggest common factor number is the GCF number.
So the greatest common factor 5440 and 5448 is 8.
Also check out the Least Common Multiple of 5440 and 5448
(i) The GCF of 5440 and 5448 is associative
GCF of 5440 and 5448 = GCF of 5448 and 5440
1. What is the GCF of 5440 and 5448?
Answer: GCF of 5440 and 5448 is 8.
2. What are the Factors of 5440?
Answer: Factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. There are 28 integers that are factors of 5440. The greatest factor of 5440 is 5440.
3. What are the Factors of 5448?
Answer: Factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448. There are 16 integers that are factors of 5448. The greatest factor of 5448 is 5448.
4. How to Find the GCF of 5440 and 5448?
Answer:
Greatest Common Factor of 5440 and 5448 = 8
Step 1: Find the prime factorization of 5440
5440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17
Step 2: Find the prime factorization of 5448
5448 = 2 x 2 x 2 x 3 x 227
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 5440 and 5448 is 8