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 4653, 4658 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4653 and 4658 is 1.
GCF(4653,4658) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4653
3 | 4653 |
3 | 1551 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 4653 are 3,11,47. Prime factorization of 4653 in exponential form is:
4653 = 32×111×471
Prime Factorization of 4658
2 | 4658 |
17 | 2329 |
137 | 137 |
1 |
Prime factors of 4658 are 2,17,137. Prime factorization of 4658 in exponential form is:
4658 = 21×171×1371
∴ So by taking common prime factors GCF of 4653 and 4658 is 1
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1,3,9,11,33,47,99,141,423,517,1551,4653
Factors of 4658
List of positive integer factors of 4658 that divides 4658 without a remainder.
1,2,17,34,137,274,2329,4658
Greatest Common Factor
We found the factors and prime factorization of 4653 and 4658. The biggest common factor number is the GCF number.
So the greatest common factor 4653 and 4658 is 1.
Also check out the Least Common Multiple of 4653 and 4658
(i) The GCF of 4653 and 4658 is associative
GCF of 4653 and 4658 = GCF of 4658 and 4653
1. What is the GCF of 4653 and 4658?
Answer: GCF of 4653 and 4658 is 1.
2. What are the Factors of 4653?
Answer: Factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653. There are 12 integers that are factors of 4653. The greatest factor of 4653 is 4653.
3. What are the Factors of 4658?
Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.
4. How to Find the GCF of 4653 and 4658?
Answer:
Greatest Common Factor of 4653 and 4658 = 1
Step 1: Find the prime factorization of 4653
4653 = 3 x 3 x 11 x 47
Step 2: Find the prime factorization of 4658
4658 = 2 x 17 x 137
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 4653 and 4658 is 1