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 7063, 7070 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7063 and 7070 is 7.
GCF(7063,7070) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7063
7 | 7063 |
1009 | 1009 |
1 |
Prime factors of 7063 are 7,1009. Prime factorization of 7063 in exponential form is:
7063 = 71×10091
Prime Factorization of 7070
2 | 7070 |
5 | 3535 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 7070 are 2,5,7,101. Prime factorization of 7070 in exponential form is:
7070 = 21×51×71×1011
∴ So by taking common prime factors GCF of 7063 and 7070 is 7
Factors of 7063
List of positive integer factors of 7063 that divides 7063 without a remainder.
1,7,1009,7063
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Greatest Common Factor
We found the factors and prime factorization of 7063 and 7070. The biggest common factor number is the GCF number.
So the greatest common factor 7063 and 7070 is 7.
Also check out the Least Common Multiple of 7063 and 7070
(i) The GCF of 7063 and 7070 is associative
GCF of 7063 and 7070 = GCF of 7070 and 7063
1. What is the GCF of 7063 and 7070?
Answer: GCF of 7063 and 7070 is 7.
2. What are the Factors of 7063?
Answer: Factors of 7063 are 1, 7, 1009, 7063. There are 4 integers that are factors of 7063. The greatest factor of 7063 is 7063.
3. What are the Factors of 7070?
Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.
4. How to Find the GCF of 7063 and 7070?
Answer:
Greatest Common Factor of 7063 and 7070 = 7
Step 1: Find the prime factorization of 7063
7063 = 7 x 1009
Step 2: Find the prime factorization of 7070
7070 = 2 x 5 x 7 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7063 and 7070 is 7