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 7090, 7092 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7090 and 7092 is 2.
GCF(7090,7092) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7092
2 | 7092 |
2 | 3546 |
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 7092 are 2,3,197. Prime factorization of 7092 in exponential form is:
7092 = 22×32×1971
∴ So by taking common prime factors GCF of 7090 and 7092 is 2
Factors of 7090
List of positive integer factors of 7090 that divides 7090 without a remainder.
1,2,5,10,709,1418,3545,7090
Factors of 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092
Greatest Common Factor
We found the factors and prime factorization of 7090 and 7092. The biggest common factor number is the GCF number.
So the greatest common factor 7090 and 7092 is 2.
Also check out the Least Common Multiple of 7090 and 7092
(i) The GCF of 7090 and 7092 is associative
GCF of 7090 and 7092 = GCF of 7092 and 7090
1. What is the GCF of 7090 and 7092?
Answer: GCF of 7090 and 7092 is 2.
2. 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.
3. What are the Factors of 7092?
Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.
4. How to Find the GCF of 7090 and 7092?
Answer:
Greatest Common Factor of 7090 and 7092 = 2
Step 1: Find the prime factorization of 7090
7090 = 2 x 5 x 709
Step 2: Find the prime factorization of 7092
7092 = 2 x 2 x 3 x 3 x 197
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 7090 and 7092 is 2