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 7663, 7671 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7663 and 7671 is 1.
GCF(7663,7671) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7663
79 | 7663 |
97 | 97 |
1 |
Prime factors of 7663 are 79,97. Prime factorization of 7663 in exponential form is:
7663 = 791×971
Prime Factorization of 7671
3 | 7671 |
2557 | 2557 |
1 |
Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:
7671 = 31×25571
∴ So by taking common prime factors GCF of 7663 and 7671 is 1
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1,79,97,7663
Factors of 7671
List of positive integer factors of 7671 that divides 7671 without a remainder.
1,3,2557,7671
Greatest Common Factor
We found the factors and prime factorization of 7663 and 7671. The biggest common factor number is the GCF number.
So the greatest common factor 7663 and 7671 is 1.
Also check out the Least Common Multiple of 7663 and 7671
(i) The GCF of 7663 and 7671 is associative
GCF of 7663 and 7671 = GCF of 7671 and 7663
1. What is the GCF of 7663 and 7671?
Answer: GCF of 7663 and 7671 is 1.
2. What are the Factors of 7663?
Answer: Factors of 7663 are 1, 79, 97, 7663. There are 4 integers that are factors of 7663. The greatest factor of 7663 is 7663.
3. What are the Factors of 7671?
Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.
4. How to Find the GCF of 7663 and 7671?
Answer:
Greatest Common Factor of 7663 and 7671 = 1
Step 1: Find the prime factorization of 7663
7663 = 79 x 97
Step 2: Find the prime factorization of 7671
7671 = 3 x 2557
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 7663 and 7671 is 1