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 20, 39 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 20 and 39 is 1.
GCF(20,39) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 20
2 | 20 |
2 | 10 |
5 | 5 |
1 |
Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:
20 = 22×51
Prime Factorization of 39
3 | 39 |
13 | 13 |
1 |
Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:
39 = 31×131
∴ So by taking common prime factors GCF of 20 and 39 is 1
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Greatest Common Factor
We found the factors and prime factorization of 20 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 20 and 39 is 1.
Also check out the Least Common Multiple of 20 and 39
(i) The GCF of 20 and 39 is associative
GCF of 20 and 39 = GCF of 39 and 20
1. What is the GCF of 20 and 39?
Answer: GCF of 20 and 39 is 1.
2. 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.
3. What are the Factors of 39?
Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.
4. How to Find the GCF of 20 and 39?
Answer:
Greatest Common Factor of 20 and 39 = 1
Step 1: Find the prime factorization of 20
20 = 2 x 2 x 5
Step 2: Find the prime factorization of 39
39 = 3 x 13
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 20 and 39 is 1