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 18, 31 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 18 and 31 is 1.
GCF(18,31) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 18
2 | 18 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 18 are 2,3. Prime factorization of 18 in exponential form is:
18 = 21×32
Prime Factorization of 31
31 | 31 |
1 |
Prime factors of 31 are 31. Prime factorization of 31 in exponential form is:
31 = 311
∴ So by taking common prime factors GCF of 18 and 31 is 1
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Greatest Common Factor
We found the factors and prime factorization of 18 and 31. The biggest common factor number is the GCF number.
So the greatest common factor 18 and 31 is 1.
Also check out the Least Common Multiple of 18 and 31
(i) The GCF of 18 and 31 is associative
GCF of 18 and 31 = GCF of 31 and 18
1. What is the GCF of 18 and 31?
Answer: GCF of 18 and 31 is 1.
2. 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.
3. What are the Factors of 31?
Answer: Factors of 31 are 1, 31. There are 2 integers that are factors of 31. The greatest factor of 31 is 31.
4. How to Find the GCF of 18 and 31?
Answer:
Greatest Common Factor of 18 and 31 = 1
Step 1: Find the prime factorization of 18
18 = 2 x 3 x 3
Step 2: Find the prime factorization of 31
31 = 31
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 18 and 31 is 1