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 3, 20 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3 and 20 is 1.
GCF(3,20) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3
3 | 3 |
1 |
Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:
3 = 31
Prime Factorization of 20
2 | 20 |
2 | 10 |
5 | 5 |
1 |
Prime factors of 20 are 2.Prime factorization of 20 in exponential form is:
20 = 22×51
∴ So by taking common prime factors GCF of 3 and 20 is 1
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors and prime factorization of 3 and 20. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 20 is 1.
Also check out the Least Common Multiple of 3 and 20
(i) The GCF of 3 and 20 is associative
GCF of 3 and 20 = GCF of 20 and 3
1. What is the GCF of 3 and 20?
Answer: GCF of 3 and 20 is 1.
2. What are the Factors of 3?
Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3.
3. What are the Factors of 20?
Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.
4. How to Find the GCF of 3 and 20?
Answer:
Greatest Common Factor of 3 and 20 = 1
Step 1: Find the prime factorization of 3
3 = 3
Step 2: Find the prime factorization of 20
20 = 2 x 2 x 5
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 3 and 20 is 1