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 7024, 7032 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7024 and 7032 is 8.
GCF(7024,7032) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7024
2 | 7024 |
2 | 3512 |
2 | 1756 |
2 | 878 |
439 | 439 |
1 |
Prime factors of 7024 are 2,439. Prime factorization of 7024 in exponential form is:
7024 = 24×4391
Prime Factorization of 7032
2 | 7032 |
2 | 3516 |
2 | 1758 |
3 | 879 |
293 | 293 |
1 |
Prime factors of 7032 are 2,3,293. Prime factorization of 7032 in exponential form is:
7032 = 23×31×2931
∴ So by taking common prime factors GCF of 7024 and 7032 is 8
Factors of 7024
List of positive integer factors of 7024 that divides 7024 without a remainder.
1,2,4,8,16,439,878,1756,3512,7024
Factors of 7032
List of positive integer factors of 7032 that divides 7032 without a remainder.
1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors and prime factorization of 7024 and 7032. The biggest common factor number is the GCF number.
So the greatest common factor 7024 and 7032 is 8.
Also check out the Least Common Multiple of 7024 and 7032
(i) The GCF of 7024 and 7032 is associative
GCF of 7024 and 7032 = GCF of 7032 and 7024
1. What is the GCF of 7024 and 7032?
Answer: GCF of 7024 and 7032 is 8.
2. What are the Factors of 7024?
Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.
3. What are the Factors of 7032?
Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.
4. How to Find the GCF of 7024 and 7032?
Answer:
Greatest Common Factor of 7024 and 7032 = 8
Step 1: Find the prime factorization of 7024
7024 = 2 x 2 x 2 x 2 x 439
Step 2: Find the prime factorization of 7032
7032 = 2 x 2 x 2 x 3 x 293
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 7024 and 7032 is 8