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 7666, 7670 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7666 and 7670 is 2.
GCF(7666,7670) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7666
2 | 7666 |
3833 | 3833 |
1 |
Prime factors of 7666 are 2,3833. Prime factorization of 7666 in exponential form is:
7666 = 21×38331
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 7666 and 7670 is 2
Factors of 7666
List of positive integer factors of 7666 that divides 7666 without a remainder.
1,2,3833,7666
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 7666 and 7670. The biggest common factor number is the GCF number.
So the greatest common factor 7666 and 7670 is 2.
Also check out the Least Common Multiple of 7666 and 7670
(i) The GCF of 7666 and 7670 is associative
GCF of 7666 and 7670 = GCF of 7670 and 7666
1. What is the GCF of 7666 and 7670?
Answer: GCF of 7666 and 7670 is 2.
2. What are the Factors of 7666?
Answer: Factors of 7666 are 1, 2, 3833, 7666. There are 4 integers that are factors of 7666. The greatest factor of 7666 is 7666.
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 7666 and 7670?
Answer:
Greatest Common Factor of 7666 and 7670 = 2
Step 1: Find the prime factorization of 7666
7666 = 2 x 3833
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 = 2
Step 4: Therefore, the greatest common factor of 7666 and 7670 is 2