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 1340, 1344 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1340 and 1344 is 4.
GCF(1340,1344) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1340
2 | 1340 |
2 | 670 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 1340 are 2,5,67. Prime factorization of 1340 in exponential form is:
1340 = 22×51×671
Prime Factorization of 1344
2 | 1344 |
2 | 672 |
2 | 336 |
2 | 168 |
2 | 84 |
2 | 42 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 1344 are 2,3,7. Prime factorization of 1344 in exponential form is:
1344 = 26×31×71
∴ So by taking common prime factors GCF of 1340 and 1344 is 4
Factors of 1340
List of positive integer factors of 1340 that divides 1340 without a remainder.
1,2,4,5,10,20,67,134,268,335,670,1340
Factors of 1344
List of positive integer factors of 1344 that divides 1344 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Greatest Common Factor
We found the factors and prime factorization of 1340 and 1344. The biggest common factor number is the GCF number.
So the greatest common factor 1340 and 1344 is 4.
Also check out the Least Common Multiple of 1340 and 1344
(i) The GCF of 1340 and 1344 is associative
GCF of 1340 and 1344 = GCF of 1344 and 1340
1. What is the GCF of 1340 and 1344?
Answer: GCF of 1340 and 1344 is 4.
2. What are the Factors of 1340?
Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.
3. What are the Factors of 1344?
Answer: Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. There are 28 integers that are factors of 1344. The greatest factor of 1344 is 1344.
4. How to Find the GCF of 1340 and 1344?
Answer:
Greatest Common Factor of 1340 and 1344 = 4
Step 1: Find the prime factorization of 1340
1340 = 2 x 2 x 5 x 67
Step 2: Find the prime factorization of 1344
1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1340 and 1344 is 4