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 7867, 7874 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7867 and 7874 is 1.
GCF(7867,7874) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7867
7867 | 7867 |
1 |
Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:
7867 = 78671
Prime Factorization of 7874
2 | 7874 |
31 | 3937 |
127 | 127 |
1 |
Prime factors of 7874 are 2.Prime factorization of 7874 in exponential form is:
7874 = 21×311×1271
∴ So by taking common prime factors GCF of 7867 and 7874 is 1
Factors of 7867
List of positive integer factors of 7867 that divides 7867 without a remainder.
1,7867
Factors of 7874
List of positive integer factors of 7874 that divides 7874 without a remainder.
1,2,31,62,127,254,3937,7874
Greatest Common Factor
We found the factors and prime factorization of 7867 and 7874. The biggest common factor number is the GCF number.
So the greatest common factor 7867 and 7874 is 1.
Also check out the Least Common Multiple of 7867 and 7874
(i) The GCF of 7867 and 7874 is associative
GCF of 7867 and 7874 = GCF of 7874 and 7867
1. What is the GCF of 7867 and 7874?
Answer: GCF of 7867 and 7874 is 1.
2. What are the Factors of 7867?
Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.
3. What are the Factors of 7874?
Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.
4. How to Find the GCF of 7867 and 7874?
Answer:
Greatest Common Factor of 7867 and 7874 = 1
Step 1: Find the prime factorization of 7867
7867 = 7867
Step 2: Find the prime factorization of 7874
7874 = 2 x 31 x 127
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 7867 and 7874 is 1