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 7890, 7897 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7890 and 7897 is 1.
GCF(7890,7897) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7890
2 | 7890 |
3 | 3945 |
5 | 1315 |
263 | 263 |
1 |
Prime factors of 7890 are 2,3,5,263. Prime factorization of 7890 in exponential form is:
7890 = 21×31×51×2631
Prime Factorization of 7897
53 | 7897 |
149 | 149 |
1 |
Prime factors of 7897 are 53,149. Prime factorization of 7897 in exponential form is:
7897 = 531×1491
∴ So by taking common prime factors GCF of 7890 and 7897 is 1
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1,53,149,7897
Greatest Common Factor
We found the factors and prime factorization of 7890 and 7897. The biggest common factor number is the GCF number.
So the greatest common factor 7890 and 7897 is 1.
Also check out the Least Common Multiple of 7890 and 7897
(i) The GCF of 7890 and 7897 is associative
GCF of 7890 and 7897 = GCF of 7897 and 7890
1. What is the GCF of 7890 and 7897?
Answer: GCF of 7890 and 7897 is 1.
2. What are the Factors of 7890?
Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.
3. What are the Factors of 7897?
Answer: Factors of 7897 are 1, 53, 149, 7897. There are 4 integers that are factors of 7897. The greatest factor of 7897 is 7897.
4. How to Find the GCF of 7890 and 7897?
Answer:
Greatest Common Factor of 7890 and 7897 = 1
Step 1: Find the prime factorization of 7890
7890 = 2 x 3 x 5 x 263
Step 2: Find the prime factorization of 7897
7897 = 53 x 149
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 7890 and 7897 is 1