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 9671, 9677 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9671 and 9677 is 1.
GCF(9671,9677) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9671
19 | 9671 |
509 | 509 |
1 |
Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:
9671 = 191×5091
Prime Factorization of 9677
9677 | 9677 |
1 |
Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:
9677 = 96771
∴ So by taking common prime factors GCF of 9671 and 9677 is 1
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1,19,509,9671
Factors of 9677
List of positive integer factors of 9677 that divides 9677 without a remainder.
1,9677
Greatest Common Factor
We found the factors and prime factorization of 9671 and 9677. The biggest common factor number is the GCF number.
So the greatest common factor 9671 and 9677 is 1.
Also check out the Least Common Multiple of 9671 and 9677
(i) The GCF of 9671 and 9677 is associative
GCF of 9671 and 9677 = GCF of 9677 and 9671
1. What is the GCF of 9671 and 9677?
Answer: GCF of 9671 and 9677 is 1.
2. What are the Factors of 9671?
Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.
3. What are the Factors of 9677?
Answer: Factors of 9677 are 1, 9677. There are 2 integers that are factors of 9677. The greatest factor of 9677 is 9677.
4. How to Find the GCF of 9671 and 9677?
Answer:
Greatest Common Factor of 9671 and 9677 = 1
Step 1: Find the prime factorization of 9671
9671 = 19 x 509
Step 2: Find the prime factorization of 9677
9677 = 9677
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 9671 and 9677 is 1