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 7002, 7006 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7002 and 7006 is 2.
GCF(7002,7006) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7002
2 | 7002 |
3 | 3501 |
3 | 1167 |
389 | 389 |
1 |
Prime factors of 7002 are 2,3,389. Prime factorization of 7002 in exponential form is:
7002 = 21×32×3891
Prime Factorization of 7006
2 | 7006 |
31 | 3503 |
113 | 113 |
1 |
Prime factors of 7006 are 2,31,113. Prime factorization of 7006 in exponential form is:
7006 = 21×311×1131
∴ So by taking common prime factors GCF of 7002 and 7006 is 2
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
Factors of 7006
List of positive integer factors of 7006 that divides 7006 without a remainder.
1,2,31,62,113,226,3503,7006
Greatest Common Factor
We found the factors and prime factorization of 7002 and 7006. The biggest common factor number is the GCF number.
So the greatest common factor 7002 and 7006 is 2.
Also check out the Least Common Multiple of 7002 and 7006
(i) The GCF of 7002 and 7006 is associative
GCF of 7002 and 7006 = GCF of 7006 and 7002
1. What is the GCF of 7002 and 7006?
Answer: GCF of 7002 and 7006 is 2.
2. 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.
3. What are the Factors of 7006?
Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.
4. How to Find the GCF of 7002 and 7006?
Answer:
Greatest Common Factor of 7002 and 7006 = 2
Step 1: Find the prime factorization of 7002
7002 = 2 x 3 x 3 x 389
Step 2: Find the prime factorization of 7006
7006 = 2 x 31 x 113
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 7002 and 7006 is 2