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 7084, 7092 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7084 and 7092 is 4.
GCF(7084,7092) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7084
2 | 7084 |
2 | 3542 |
7 | 1771 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 7084 are 2,7,11,23. Prime factorization of 7084 in exponential form is:
7084 = 22×71×111×231
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 7084 and 7092 is 4
Factors of 7084
List of positive integer factors of 7084 that divides 7084 without a remainder.
1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
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 7084 and 7092. The biggest common factor number is the GCF number.
So the greatest common factor 7084 and 7092 is 4.
Also check out the Least Common Multiple of 7084 and 7092
(i) The GCF of 7084 and 7092 is associative
GCF of 7084 and 7092 = GCF of 7092 and 7084
1. What is the GCF of 7084 and 7092?
Answer: GCF of 7084 and 7092 is 4.
2. What are the Factors of 7084?
Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.
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 7084 and 7092?
Answer:
Greatest Common Factor of 7084 and 7092 = 4
Step 1: Find the prime factorization of 7084
7084 = 2 x 2 x 7 x 11 x 23
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 x 2 = 4
Step 4: Therefore, the greatest common factor of 7084 and 7092 is 4