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 7673, 7680 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7673 and 7680 is 1.
GCF(7673,7680) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7673
7673 | 7673 |
1 |
Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:
7673 = 76731
Prime Factorization of 7680
2 | 7680 |
2 | 3840 |
2 | 1920 |
2 | 960 |
2 | 480 |
2 | 240 |
2 | 120 |
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 7680 are 2.Prime factorization of 7680 in exponential form is:
7680 = 29×31×51
∴ So by taking common prime factors GCF of 7673 and 7680 is 1
Factors of 7673
List of positive integer factors of 7673 that divides 7673 without a remainder.
1,7673
Factors of 7680
List of positive integer factors of 7680 that divides 7680 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors and prime factorization of 7673 and 7680. The biggest common factor number is the GCF number.
So the greatest common factor 7673 and 7680 is 1.
Also check out the Least Common Multiple of 7673 and 7680
(i) The GCF of 7673 and 7680 is associative
GCF of 7673 and 7680 = GCF of 7680 and 7673
1. What is the GCF of 7673 and 7680?
Answer: GCF of 7673 and 7680 is 1.
2. What are the Factors of 7673?
Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.
3. What are the Factors of 7680?
Answer: Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. There are 40 integers that are factors of 7680. The greatest factor of 7680 is 7680.
4. How to Find the GCF of 7673 and 7680?
Answer:
Greatest Common Factor of 7673 and 7680 = 1
Step 1: Find the prime factorization of 7673
7673 = 7673
Step 2: Find the prime factorization of 7680
7680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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 7673 and 7680 is 1