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 6144, 6146 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6144 and 6146 is 2.
GCF(6144,6146) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6144
2 | 6144 |
2 | 3072 |
2 | 1536 |
2 | 768 |
2 | 384 |
2 | 192 |
2 | 96 |
2 | 48 |
2 | 24 |
2 | 12 |
2 | 6 |
3 | 3 |
1 |
Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:
6144 = 211×31
Prime Factorization of 6146
2 | 6146 |
7 | 3073 |
439 | 439 |
1 |
Prime factors of 6146 are 2,7,439. Prime factorization of 6146 in exponential form is:
6146 = 21×71×4391
∴ So by taking common prime factors GCF of 6144 and 6146 is 2
Factors of 6144
List of positive integer factors of 6144 that divides 6144 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144
Factors of 6146
List of positive integer factors of 6146 that divides 6146 without a remainder.
1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors and prime factorization of 6144 and 6146. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6146 is 2.
Also check out the Least Common Multiple of 6144 and 6146
(i) The GCF of 6144 and 6146 is associative
GCF of 6144 and 6146 = GCF of 6146 and 6144
1. What is the GCF of 6144 and 6146?
Answer: GCF of 6144 and 6146 is 2.
2. What are the Factors of 6144?
Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.
3. What are the Factors of 6146?
Answer: Factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146. There are 8 integers that are factors of 6146. The greatest factor of 6146 is 6146.
4. How to Find the GCF of 6144 and 6146?
Answer:
Greatest Common Factor of 6144 and 6146 = 2
Step 1: Find the prime factorization of 6144
6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Step 2: Find the prime factorization of 6146
6146 = 2 x 7 x 439
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 6144 and 6146 is 2