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 5640, 5647 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5640 and 5647 is 1.
GCF(5640,5647) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5640
2 | 5640 |
2 | 2820 |
2 | 1410 |
3 | 705 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 5640 are 2,3,5,47. Prime factorization of 5640 in exponential form is:
5640 = 23×31×51×471
Prime Factorization of 5647
5647 | 5647 |
1 |
Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:
5647 = 56471
∴ So by taking common prime factors GCF of 5640 and 5647 is 1
Factors of 5640
List of positive integer factors of 5640 that divides 5640 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1,5647
Greatest Common Factor
We found the factors and prime factorization of 5640 and 5647. The biggest common factor number is the GCF number.
So the greatest common factor 5640 and 5647 is 1.
Also check out the Least Common Multiple of 5640 and 5647
(i) The GCF of 5640 and 5647 is associative
GCF of 5640 and 5647 = GCF of 5647 and 5640
1. What is the GCF of 5640 and 5647?
Answer: GCF of 5640 and 5647 is 1.
2. What are the Factors of 5640?
Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.
3. What are the Factors of 5647?
Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.
4. How to Find the GCF of 5640 and 5647?
Answer:
Greatest Common Factor of 5640 and 5647 = 1
Step 1: Find the prime factorization of 5640
5640 = 2 x 2 x 2 x 3 x 5 x 47
Step 2: Find the prime factorization of 5647
5647 = 5647
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5640 and 5647 is 1