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 4, 18 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4 and 18 is 2.
GCF(4,18) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4
2 | 4 |
2 | 2 |
1 |
Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:
4 = 22
Prime Factorization of 18
2 | 18 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 18 are 2.Prime factorization of 18 in exponential form is:
18 = 21×32
∴ So by taking common prime factors GCF of 4 and 18 is 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Greatest Common Factor
We found the factors and prime factorization of 4 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 18 is 2.
Also check out the Least Common Multiple of 4 and 18
(i) The GCF of 4 and 18 is associative
GCF of 4 and 18 = GCF of 18 and 4
1. What is the GCF of 4 and 18?
Answer: GCF of 4 and 18 is 2.
2. What are the Factors of 4?
Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.
3. What are the Factors of 18?
Answer: Factors of 18 are 1, 2, 3, 6, 9, 18. There are 6 integers that are factors of 18. The greatest factor of 18 is 18.
4. How to Find the GCF of 4 and 18?
Answer:
Greatest Common Factor of 4 and 18 = 2
Step 1: Find the prime factorization of 4
4 = 2 x 2
Step 2: Find the prime factorization of 18
18 = 2 x 3 x 3
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 4 and 18 is 2