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 7077, 7078 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7077 and 7078 is 1.
GCF(7077,7078) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7077
3 | 7077 |
7 | 2359 |
337 | 337 |
1 |
Prime factors of 7077 are 3,7,337. Prime factorization of 7077 in exponential form is:
7077 = 31×71×3371
Prime Factorization of 7078
2 | 7078 |
3539 | 3539 |
1 |
Prime factors of 7078 are 2,3539. Prime factorization of 7078 in exponential form is:
7078 = 21×35391
∴ So by taking common prime factors GCF of 7077 and 7078 is 1
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1,3,7,21,337,1011,2359,7077
Factors of 7078
List of positive integer factors of 7078 that divides 7078 without a remainder.
1,2,3539,7078
Greatest Common Factor
We found the factors and prime factorization of 7077 and 7078. The biggest common factor number is the GCF number.
So the greatest common factor 7077 and 7078 is 1.
Also check out the Least Common Multiple of 7077 and 7078
(i) The GCF of 7077 and 7078 is associative
GCF of 7077 and 7078 = GCF of 7078 and 7077
1. What is the GCF of 7077 and 7078?
Answer: GCF of 7077 and 7078 is 1.
2. What are the Factors of 7077?
Answer: Factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077. There are 8 integers that are factors of 7077. The greatest factor of 7077 is 7077.
3. What are the Factors of 7078?
Answer: Factors of 7078 are 1, 2, 3539, 7078. There are 4 integers that are factors of 7078. The greatest factor of 7078 is 7078.
4. How to Find the GCF of 7077 and 7078?
Answer:
Greatest Common Factor of 7077 and 7078 = 1
Step 1: Find the prime factorization of 7077
7077 = 3 x 7 x 337
Step 2: Find the prime factorization of 7078
7078 = 2 x 3539
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 7077 and 7078 is 1