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 7001, 7002 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7001 and 7002 is 1.
GCF(7001,7002) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7001
7001 | 7001 |
1 |
Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:
7001 = 70011
Prime Factorization of 7002
2 | 7002 |
3 | 3501 |
3 | 1167 |
389 | 389 |
1 |
Prime factors of 7002 are 2.Prime factorization of 7002 in exponential form is:
7002 = 21×32×3891
∴ So by taking common prime factors GCF of 7001 and 7002 is 1
Factors of 7001
List of positive integer factors of 7001 that divides 7001 without a remainder.
1,7001
Factors of 7002
List of positive integer factors of 7002 that divides 7002 without a remainder.
1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors and prime factorization of 7001 and 7002. The biggest common factor number is the GCF number.
So the greatest common factor 7001 and 7002 is 1.
Also check out the Least Common Multiple of 7001 and 7002
(i) The GCF of 7001 and 7002 is associative
GCF of 7001 and 7002 = GCF of 7002 and 7001
1. What is the GCF of 7001 and 7002?
Answer: GCF of 7001 and 7002 is 1.
2. What are the Factors of 7001?
Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.
3. What are the Factors of 7002?
Answer: Factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002. There are 12 integers that are factors of 7002. The greatest factor of 7002 is 7002.
4. How to Find the GCF of 7001 and 7002?
Answer:
Greatest Common Factor of 7001 and 7002 = 1
Step 1: Find the prime factorization of 7001
7001 = 7001
Step 2: Find the prime factorization of 7002
7002 = 2 x 3 x 3 x 389
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 7001 and 7002 is 1