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 3087, 3092 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3087 and 3092 is 1.
GCF(3087,3092) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3087
3 | 3087 |
3 | 1029 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:
3087 = 32×73
Prime Factorization of 3092
2 | 3092 |
2 | 1546 |
773 | 773 |
1 |
Prime factors of 3092 are 2,773. Prime factorization of 3092 in exponential form is:
3092 = 22×7731
∴ So by taking common prime factors GCF of 3087 and 3092 is 1
Factors of 3087
List of positive integer factors of 3087 that divides 3087 without a remainder.
1,3,7,9,21,49,63,147,343,441,1029,3087
Factors of 3092
List of positive integer factors of 3092 that divides 3092 without a remainder.
1,2,4,773,1546,3092
Greatest Common Factor
We found the factors and prime factorization of 3087 and 3092. The biggest common factor number is the GCF number.
So the greatest common factor 3087 and 3092 is 1.
Also check out the Least Common Multiple of 3087 and 3092
(i) The GCF of 3087 and 3092 is associative
GCF of 3087 and 3092 = GCF of 3092 and 3087
1. What is the GCF of 3087 and 3092?
Answer: GCF of 3087 and 3092 is 1.
2. What are the Factors of 3087?
Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.
3. What are the Factors of 3092?
Answer: Factors of 3092 are 1, 2, 4, 773, 1546, 3092. There are 6 integers that are factors of 3092. The greatest factor of 3092 is 3092.
4. How to Find the GCF of 3087 and 3092?
Answer:
Greatest Common Factor of 3087 and 3092 = 1
Step 1: Find the prime factorization of 3087
3087 = 3 x 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 3092
3092 = 2 x 2 x 773
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3087 and 3092 is 1