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 6141, 6144 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6141 and 6144 is 3.
GCF(6141,6144) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6141
3 | 6141 |
23 | 2047 |
89 | 89 |
1 |
Prime factors of 6141 are 3,23,89. Prime factorization of 6141 in exponential form is:
6141 = 31×231×891
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
∴ So by taking common prime factors GCF of 6141 and 6144 is 3
Factors of 6141
List of positive integer factors of 6141 that divides 6141 without a remainder.
1,3,23,69,89,267,2047,6141
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
Greatest Common Factor
We found the factors and prime factorization of 6141 and 6144. The biggest common factor number is the GCF number.
So the greatest common factor 6141 and 6144 is 3.
Also check out the Least Common Multiple of 6141 and 6144
(i) The GCF of 6141 and 6144 is associative
GCF of 6141 and 6144 = GCF of 6144 and 6141
1. What is the GCF of 6141 and 6144?
Answer: GCF of 6141 and 6144 is 3.
2. What are the Factors of 6141?
Answer: Factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141. There are 8 integers that are factors of 6141. The greatest factor of 6141 is 6141.
3. 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.
4. How to Find the GCF of 6141 and 6144?
Answer:
Greatest Common Factor of 6141 and 6144 = 3
Step 1: Find the prime factorization of 6141
6141 = 3 x 23 x 89
Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6141 and 6144 is 3