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 4633, 4641 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4633 and 4641 is 1.
GCF(4633,4641) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4633
41 | 4633 |
113 | 113 |
1 |
Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:
4633 = 411×1131
Prime Factorization of 4641
3 | 4641 |
7 | 1547 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 4641 are 3,7,13,17. Prime factorization of 4641 in exponential form is:
4641 = 31×71×131×171
∴ So by taking common prime factors GCF of 4633 and 4641 is 1
Factors of 4633
List of positive integer factors of 4633 that divides 4633 without a remainder.
1,41,113,4633
Factors of 4641
List of positive integer factors of 4641 that divides 4641 without a remainder.
1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Greatest Common Factor
We found the factors and prime factorization of 4633 and 4641. The biggest common factor number is the GCF number.
So the greatest common factor 4633 and 4641 is 1.
Also check out the Least Common Multiple of 4633 and 4641
(i) The GCF of 4633 and 4641 is associative
GCF of 4633 and 4641 = GCF of 4641 and 4633
1. What is the GCF of 4633 and 4641?
Answer: GCF of 4633 and 4641 is 1.
2. What are the Factors of 4633?
Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.
3. What are the Factors of 4641?
Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.
4. How to Find the GCF of 4633 and 4641?
Answer:
Greatest Common Factor of 4633 and 4641 = 1
Step 1: Find the prime factorization of 4633
4633 = 41 x 113
Step 2: Find the prime factorization of 4641
4641 = 3 x 7 x 13 x 17
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 4633 and 4641 is 1