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 2, 13 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2 and 13 is 1.
GCF(2,13) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2
2 | 2 |
1 |
Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:
2 = 21
Prime Factorization of 13
13 | 13 |
1 |
Prime factors of 13 are 13.Prime factorization of 13 in exponential form is:
13 = 131
∴ So by taking common prime factors GCF of 2 and 13 is 1
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Greatest Common Factor
We found the factors and prime factorization of 2 and 13. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 13 is 1.
Also check out the Least Common Multiple of 2 and 13
(i) The GCF of 2 and 13 is associative
GCF of 2 and 13 = GCF of 13 and 2
1. What is the GCF of 2 and 13?
Answer: GCF of 2 and 13 is 1.
2. What are the Factors of 2?
Answer: Factors of 2 are 1, 2. There are 2 integers that are factors of 2. The greatest factor of 2 is 2.
3. What are the Factors of 13?
Answer: Factors of 13 are 1, 13. There are 2 integers that are factors of 13. The greatest factor of 13 is 13.
4. How to Find the GCF of 2 and 13?
Answer:
Greatest Common Factor of 2 and 13 = 1
Step 1: Find the prime factorization of 2
2 = 2
Step 2: Find the prime factorization of 13
13 = 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 2 and 13 is 1