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 1084, 1090 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1084 and 1090 is 2.
GCF(1084,1090) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1084
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:
1084 = 22×2711
Prime Factorization of 1090
2 | 1090 |
5 | 545 |
109 | 109 |
1 |
Prime factors of 1090 are 2,5,109. Prime factorization of 1090 in exponential form is:
1090 = 21×51×1091
∴ So by taking common prime factors GCF of 1084 and 1090 is 2
Factors of 1084
List of positive integer factors of 1084 that divides 1084 without a remainder.
1,2,4,271,542,1084
Factors of 1090
List of positive integer factors of 1090 that divides 1090 without a remainder.
1,2,5,10,109,218,545,1090
Greatest Common Factor
We found the factors and prime factorization of 1084 and 1090. The biggest common factor number is the GCF number.
So the greatest common factor 1084 and 1090 is 2.
Also check out the Least Common Multiple of 1084 and 1090
(i) The GCF of 1084 and 1090 is associative
GCF of 1084 and 1090 = GCF of 1090 and 1084
1. What is the GCF of 1084 and 1090?
Answer: GCF of 1084 and 1090 is 2.
2. What are the Factors of 1084?
Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.
3. What are the Factors of 1090?
Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.
4. How to Find the GCF of 1084 and 1090?
Answer:
Greatest Common Factor of 1084 and 1090 = 2
Step 1: Find the prime factorization of 1084
1084 = 2 x 2 x 271
Step 2: Find the prime factorization of 1090
1090 = 2 x 5 x 109
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 1084 and 1090 is 2