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 7064, 7071 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7064 and 7071 is 1.
GCF(7064,7071) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7064
2 | 7064 |
2 | 3532 |
2 | 1766 |
883 | 883 |
1 |
Prime factors of 7064 are 2,883. Prime factorization of 7064 in exponential form is:
7064 = 23×8831
Prime Factorization of 7071
3 | 7071 |
2357 | 2357 |
1 |
Prime factors of 7071 are 3,2357. Prime factorization of 7071 in exponential form is:
7071 = 31×23571
∴ So by taking common prime factors GCF of 7064 and 7071 is 1
Factors of 7064
List of positive integer factors of 7064 that divides 7064 without a remainder.
1,2,4,8,883,1766,3532,7064
Factors of 7071
List of positive integer factors of 7071 that divides 7071 without a remainder.
1,3,2357,7071
Greatest Common Factor
We found the factors and prime factorization of 7064 and 7071. The biggest common factor number is the GCF number.
So the greatest common factor 7064 and 7071 is 1.
Also check out the Least Common Multiple of 7064 and 7071
(i) The GCF of 7064 and 7071 is associative
GCF of 7064 and 7071 = GCF of 7071 and 7064
1. What is the GCF of 7064 and 7071?
Answer: GCF of 7064 and 7071 is 1.
2. What are the Factors of 7064?
Answer: Factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064. There are 8 integers that are factors of 7064. The greatest factor of 7064 is 7064.
3. What are the Factors of 7071?
Answer: Factors of 7071 are 1, 3, 2357, 7071. There are 4 integers that are factors of 7071. The greatest factor of 7071 is 7071.
4. How to Find the GCF of 7064 and 7071?
Answer:
Greatest Common Factor of 7064 and 7071 = 1
Step 1: Find the prime factorization of 7064
7064 = 2 x 2 x 2 x 883
Step 2: Find the prime factorization of 7071
7071 = 3 x 2357
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 7064 and 7071 is 1