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 640, 647 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 640 and 647 is 1.
GCF(640,647) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 640
2 | 640 |
2 | 320 |
2 | 160 |
2 | 80 |
2 | 40 |
2 | 20 |
2 | 10 |
5 | 5 |
1 |
Prime factors of 640 are 2,5. Prime factorization of 640 in exponential form is:
640 = 27×51
Prime Factorization of 647
647 | 647 |
1 |
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
∴ So by taking common prime factors GCF of 640 and 647 is 1
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors and prime factorization of 640 and 647. The biggest common factor number is the GCF number.
So the greatest common factor 640 and 647 is 1.
Also check out the Least Common Multiple of 640 and 647
(i) The GCF of 640 and 647 is associative
GCF of 640 and 647 = GCF of 647 and 640
1. What is the GCF of 640 and 647?
Answer: GCF of 640 and 647 is 1.
2. What are the Factors of 640?
Answer: Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. There are 16 integers that are factors of 640. The greatest factor of 640 is 640.
3. What are the Factors of 647?
Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.
4. How to Find the GCF of 640 and 647?
Answer:
Greatest Common Factor of 640 and 647 = 1
Step 1: Find the prime factorization of 640
640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Step 2: Find the prime factorization of 647
647 = 647
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 640 and 647 is 1