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 7947, 7949 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7947 and 7949 is 1.
GCF(7947,7949) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7947
3 | 7947 |
3 | 2649 |
883 | 883 |
1 |
Prime factors of 7947 are 3,883. Prime factorization of 7947 in exponential form is:
7947 = 32×8831
Prime Factorization of 7949
7949 | 7949 |
1 |
Prime factors of 7949 are 7949. Prime factorization of 7949 in exponential form is:
7949 = 79491
∴ So by taking common prime factors GCF of 7947 and 7949 is 1
Factors of 7947
List of positive integer factors of 7947 that divides 7947 without a remainder.
1,3,9,883,2649,7947
Factors of 7949
List of positive integer factors of 7949 that divides 7949 without a remainder.
1,7949
Greatest Common Factor
We found the factors and prime factorization of 7947 and 7949. The biggest common factor number is the GCF number.
So the greatest common factor 7947 and 7949 is 1.
Also check out the Least Common Multiple of 7947 and 7949
(i) The GCF of 7947 and 7949 is associative
GCF of 7947 and 7949 = GCF of 7949 and 7947
1. What is the GCF of 7947 and 7949?
Answer: GCF of 7947 and 7949 is 1.
2. What are the Factors of 7947?
Answer: Factors of 7947 are 1, 3, 9, 883, 2649, 7947. There are 6 integers that are factors of 7947. The greatest factor of 7947 is 7947.
3. What are the Factors of 7949?
Answer: Factors of 7949 are 1, 7949. There are 2 integers that are factors of 7949. The greatest factor of 7949 is 7949.
4. How to Find the GCF of 7947 and 7949?
Answer:
Greatest Common Factor of 7947 and 7949 = 1
Step 1: Find the prime factorization of 7947
7947 = 3 x 3 x 883
Step 2: Find the prime factorization of 7949
7949 = 7949
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 7947 and 7949 is 1