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 4659, 4662 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4659 and 4662 is 3.
GCF(4659,4662) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4659
3 | 4659 |
1553 | 1553 |
1 |
Prime factors of 4659 are 3,1553. Prime factorization of 4659 in exponential form is:
4659 = 31×15531
Prime Factorization of 4662
2 | 4662 |
3 | 2331 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 4662 are 2,3,7,37. Prime factorization of 4662 in exponential form is:
4662 = 21×32×71×371
∴ So by taking common prime factors GCF of 4659 and 4662 is 3
Factors of 4659
List of positive integer factors of 4659 that divides 4659 without a remainder.
1,3,1553,4659
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors and prime factorization of 4659 and 4662. The biggest common factor number is the GCF number.
So the greatest common factor 4659 and 4662 is 3.
Also check out the Least Common Multiple of 4659 and 4662
(i) The GCF of 4659 and 4662 is associative
GCF of 4659 and 4662 = GCF of 4662 and 4659
1. What is the GCF of 4659 and 4662?
Answer: GCF of 4659 and 4662 is 3.
2. What are the Factors of 4659?
Answer: Factors of 4659 are 1, 3, 1553, 4659. There are 4 integers that are factors of 4659. The greatest factor of 4659 is 4659.
3. What are the Factors of 4662?
Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.
4. How to Find the GCF of 4659 and 4662?
Answer:
Greatest Common Factor of 4659 and 4662 = 3
Step 1: Find the prime factorization of 4659
4659 = 3 x 1553
Step 2: Find the prime factorization of 4662
4662 = 2 x 3 x 3 x 7 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4659 and 4662 is 3