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, 9642 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9641 and 9642 is 1.
GCF(9641,9642) = 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 9642
2 | 9642 |
3 | 4821 |
1607 | 1607 |
1 |
Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:
9642 = 21×31×16071
∴ So by taking common prime factors GCF of 9641 and 9642 is 1
Factors of 9641
List of positive integer factors of 9641 that divides 9641 without a remainder.
1,31,311,9641
Factors of 9642
List of positive integer factors of 9642 that divides 9642 without a remainder.
1,2,3,6,1607,3214,4821,9642
Greatest Common Factor
We found the factors and prime factorization of 9641 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9641 and 9642 is 1.
Also check out the Least Common Multiple of 9641 and 9642
(i) The GCF of 9641 and 9642 is associative
GCF of 9641 and 9642 = GCF of 9642 and 9641
1. What is the GCF of 9641 and 9642?
Answer: GCF of 9641 and 9642 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 9642?
Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.
4. How to Find the GCF of 9641 and 9642?
Answer:
Greatest Common Factor of 9641 and 9642 = 1
Step 1: Find the prime factorization of 9641
9641 = 31 x 311
Step 2: Find the prime factorization of 9642
9642 = 2 x 3 x 1607
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 9642 is 1