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 4618, 4620 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4618 and 4620 is 2.
GCF(4618,4620) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4618
2 | 4618 |
2309 | 2309 |
1 |
Prime factors of 4618 are 2,2309. Prime factorization of 4618 in exponential form is:
4618 = 21×23091
Prime Factorization of 4620
2 | 4620 |
2 | 2310 |
3 | 1155 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 4620 are 2,3,5,7,11. Prime factorization of 4620 in exponential form is:
4620 = 22×31×51×71×111
∴ So by taking common prime factors GCF of 4618 and 4620 is 2
Factors of 4618
List of positive integer factors of 4618 that divides 4618 without a remainder.
1,2,2309,4618
Factors of 4620
List of positive integer factors of 4620 that divides 4620 without a remainder.
1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620
Greatest Common Factor
We found the factors and prime factorization of 4618 and 4620. The biggest common factor number is the GCF number.
So the greatest common factor 4618 and 4620 is 2.
Also check out the Least Common Multiple of 4618 and 4620
(i) The GCF of 4618 and 4620 is associative
GCF of 4618 and 4620 = GCF of 4620 and 4618
1. What is the GCF of 4618 and 4620?
Answer: GCF of 4618 and 4620 is 2.
2. What are the Factors of 4618?
Answer: Factors of 4618 are 1, 2, 2309, 4618. There are 4 integers that are factors of 4618. The greatest factor of 4618 is 4618.
3. What are the Factors of 4620?
Answer: Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. There are 48 integers that are factors of 4620. The greatest factor of 4620 is 4620.
4. How to Find the GCF of 4618 and 4620?
Answer:
Greatest Common Factor of 4618 and 4620 = 2
Step 1: Find the prime factorization of 4618
4618 = 2 x 2309
Step 2: Find the prime factorization of 4620
4620 = 2 x 2 x 3 x 5 x 7 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4618 and 4620 is 2