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 9641, 9649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9641 and 9649 is 1.
GCF(9641,9649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9641
31 | 9641 |
311 | 311 |
1 |
Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:
9641 = 311×3111
Prime Factorization of 9649
9649 | 9649 |
1 |
Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:
9649 = 96491
∴ So by taking common prime factors GCF of 9641 and 9649 is 1
Factors of 9641
List of positive integer factors of 9641 that divides 9641 without a remainder.
1,31,311,9641
Factors of 9649
List of positive integer factors of 9649 that divides 9649 without a remainder.
1,9649
Greatest Common Factor
We found the factors and prime factorization of 9641 and 9649. The biggest common factor number is the GCF number.
So the greatest common factor 9641 and 9649 is 1.
Also check out the Least Common Multiple of 9641 and 9649
(i) The GCF of 9641 and 9649 is associative
GCF of 9641 and 9649 = GCF of 9649 and 9641
1. What is the GCF of 9641 and 9649?
Answer: GCF of 9641 and 9649 is 1.
2. What are the Factors of 9641?
Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.
3. What are the Factors of 9649?
Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.
4. How to Find the GCF of 9641 and 9649?
Answer:
Greatest Common Factor of 9641 and 9649 = 1
Step 1: Find the prime factorization of 9641
9641 = 31 x 311
Step 2: Find the prime factorization of 9649
9649 = 9649
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 9641 and 9649 is 1