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 7088, 7090 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7088 and 7090 is 2.
GCF(7088,7090) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7088
2 | 7088 |
2 | 3544 |
2 | 1772 |
2 | 886 |
443 | 443 |
1 |
Prime factors of 7088 are 2,443. Prime factorization of 7088 in exponential form is:
7088 = 24×4431
Prime Factorization of 7090
2 | 7090 |
5 | 3545 |
709 | 709 |
1 |
Prime factors of 7090 are 2,5,709. Prime factorization of 7090 in exponential form is:
7090 = 21×51×7091
∴ So by taking common prime factors GCF of 7088 and 7090 is 2
Factors of 7088
List of positive integer factors of 7088 that divides 7088 without a remainder.
1,2,4,8,16,443,886,1772,3544,7088
Factors of 7090
List of positive integer factors of 7090 that divides 7090 without a remainder.
1,2,5,10,709,1418,3545,7090
Greatest Common Factor
We found the factors and prime factorization of 7088 and 7090. The biggest common factor number is the GCF number.
So the greatest common factor 7088 and 7090 is 2.
Also check out the Least Common Multiple of 7088 and 7090
(i) The GCF of 7088 and 7090 is associative
GCF of 7088 and 7090 = GCF of 7090 and 7088
1. What is the GCF of 7088 and 7090?
Answer: GCF of 7088 and 7090 is 2.
2. What are the Factors of 7088?
Answer: Factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. There are 10 integers that are factors of 7088. The greatest factor of 7088 is 7088.
3. What are the Factors of 7090?
Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.
4. How to Find the GCF of 7088 and 7090?
Answer:
Greatest Common Factor of 7088 and 7090 = 2
Step 1: Find the prime factorization of 7088
7088 = 2 x 2 x 2 x 2 x 443
Step 2: Find the prime factorization of 7090
7090 = 2 x 5 x 709
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 7088 and 7090 is 2