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 7667, 7670 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7667 and 7670 is 1.
GCF(7667,7670) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7667
11 | 7667 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 7667 are 11,17,41. Prime factorization of 7667 in exponential form is:
7667 = 111×171×411
Prime Factorization of 7670
2 | 7670 |
5 | 3835 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 7670 are 2,5,13,59. Prime factorization of 7670 in exponential form is:
7670 = 21×51×131×591
∴ So by taking common prime factors GCF of 7667 and 7670 is 1
Factors of 7667
List of positive integer factors of 7667 that divides 7667 without a remainder.
1,11,17,41,187,451,697,7667
Factors of 7670
List of positive integer factors of 7670 that divides 7670 without a remainder.
1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors and prime factorization of 7667 and 7670. The biggest common factor number is the GCF number.
So the greatest common factor 7667 and 7670 is 1.
Also check out the Least Common Multiple of 7667 and 7670
(i) The GCF of 7667 and 7670 is associative
GCF of 7667 and 7670 = GCF of 7670 and 7667
1. What is the GCF of 7667 and 7670?
Answer: GCF of 7667 and 7670 is 1.
2. What are the Factors of 7667?
Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.
3. What are the Factors of 7670?
Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.
4. How to Find the GCF of 7667 and 7670?
Answer:
Greatest Common Factor of 7667 and 7670 = 1
Step 1: Find the prime factorization of 7667
7667 = 11 x 17 x 41
Step 2: Find the prime factorization of 7670
7670 = 2 x 5 x 13 x 59
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 7667 and 7670 is 1