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 5, 12 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5 and 12 is 1.
GCF(5,12) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5
5 | 5 |
1 |
Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
Prime Factorization of 12
2 | 12 |
2 | 6 |
3 | 3 |
1 |
Prime factors of 12 are 2.Prime factorization of 12 in exponential form is:
12 = 22×31
∴ So by taking common prime factors GCF of 5 and 12 is 1
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors and prime factorization of 5 and 12. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 12 is 1.
Also check out the Least Common Multiple of 5 and 12
(i) The GCF of 5 and 12 is associative
GCF of 5 and 12 = GCF of 12 and 5
1. What is the GCF of 5 and 12?
Answer: GCF of 5 and 12 is 1.
2. What are the Factors of 5?
Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.
3. What are the Factors of 12?
Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.
4. How to Find the GCF of 5 and 12?
Answer:
Greatest Common Factor of 5 and 12 = 1
Step 1: Find the prime factorization of 5
5 = 5
Step 2: Find the prime factorization of 12
12 = 2 x 2 x 3
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 5 and 12 is 1