Greatest Common Factor of 995 and 1001
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 995, 1001 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 995 and 1001 is 1.
GCF(995,1001) = 1
GCF of 995 and 1001
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 995 and 1001 by prime factorization method
- Greatest Common Factor of 995 and 1001 by matching factors method
GCF of 995 and 1001 is 1
Prime Factorization of 995
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:
995 = 51×1991
Prime Factorization of 1001
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 1001 are 7,11,13. Prime factorization of 1001 in exponential form is:
1001 = 71×111×131
∴ So by taking common prime factors GCF of 995 and 1001 is 1
Greatest Common Factor of 995 and 1001 by matching factors method
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 1001
List of positive integer factors of 1001 that divides 1001 without a remainder.
1,7,11,13,77,91,143,1001
Greatest Common Factor
We found the factors and prime factorization of 995 and 1001. The biggest common factor number is the GCF number.
So the greatest common factor 995 and 1001 is 1.
Also check out the Least Common Multiple of 995 and 1001
Properties of GCF 995 and 1001
(i) The GCF of 995 and 1001 is associative
GCF of 995 and 1001 = GCF of 1001 and 995
Related Greatest Common Factor of 995
Related Greatest Common Factor of 1001
Frequently Asked Questions on GCF of 995 and 1001
1. What is the GCF of 995 and 1001?
Answer: GCF of 995 and 1001 is 1.
2. What are the Factors of 995?
Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.
3. What are the Factors of 1001?
Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.
4. How to Find the GCF of 995 and 1001?
Answer:
Greatest Common Factor of 995 and 1001 = 1
Step 1: Find the prime factorization of 995
995 = 5 x 199
Step 2: Find the prime factorization of 1001
1001 = 7 x 11 x 13
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 995 and 1001 is 1
