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 3070, 3077 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3070 and 3077 is 1.
GCF(3070,3077) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3070
2 | 3070 |
5 | 1535 |
307 | 307 |
1 |
Prime factors of 3070 are 2,5,307. Prime factorization of 3070 in exponential form is:
3070 = 21×51×3071
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 3070 and 3077 is 1
Factors of 3070
List of positive integer factors of 3070 that divides 3070 without a remainder.
1,2,5,10,307,614,1535,3070
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 3070 and 3077. The biggest common factor number is the GCF number.
So the greatest common factor 3070 and 3077 is 1.
Also check out the Least Common Multiple of 3070 and 3077
(i) The GCF of 3070 and 3077 is associative
GCF of 3070 and 3077 = GCF of 3077 and 3070
1. What is the GCF of 3070 and 3077?
Answer: GCF of 3070 and 3077 is 1.
2. What are the Factors of 3070?
Answer: Factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070. There are 8 integers that are factors of 3070. The greatest factor of 3070 is 3070.
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 3070 and 3077?
Answer:
Greatest Common Factor of 3070 and 3077 = 1
Step 1: Find the prime factorization of 3070
3070 = 2 x 5 x 307
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 3070 and 3077 is 1