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 3076, 3077 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3076 and 3077 is 1.
GCF(3076,3077) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3076
2 | 3076 |
2 | 1538 |
769 | 769 |
1 |
Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:
3076 = 22×7691
Prime Factorization of 3077
17 | 3077 |
181 | 181 |
1 |
Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:
3077 = 171×1811
∴ So by taking common prime factors GCF of 3076 and 3077 is 1
Factors of 3076
List of positive integer factors of 3076 that divides 3076 without a remainder.
1,2,4,769,1538,3076
Factors of 3077
List of positive integer factors of 3077 that divides 3077 without a remainder.
1,17,181,3077
Greatest Common Factor
We found the factors and prime factorization of 3076 and 3077. The biggest common factor number is the GCF number.
So the greatest common factor 3076 and 3077 is 1.
Also check out the Least Common Multiple of 3076 and 3077
(i) The GCF of 3076 and 3077 is associative
GCF of 3076 and 3077 = GCF of 3077 and 3076
1. What is the GCF of 3076 and 3077?
Answer: GCF of 3076 and 3077 is 1.
2. What are the Factors of 3076?
Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.
3. What are the Factors of 3077?
Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.
4. How to Find the GCF of 3076 and 3077?
Answer:
Greatest Common Factor of 3076 and 3077 = 1
Step 1: Find the prime factorization of 3076
3076 = 2 x 2 x 769
Step 2: Find the prime factorization of 3077
3077 = 17 x 181
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 3076 and 3077 is 1