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 12815, 12820 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12815 and 12820 is 5.
GCF(12815,12820) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12815
5 | 12815 |
11 | 2563 |
233 | 233 |
1 |
Prime factors of 12815 are 5,11,233. Prime factorization of 12815 in exponential form is:
12815 = 51×111×2331
Prime Factorization of 12820
2 | 12820 |
2 | 6410 |
5 | 3205 |
641 | 641 |
1 |
Prime factors of 12820 are 2,5,641. Prime factorization of 12820 in exponential form is:
12820 = 22×51×6411
∴ So by taking common prime factors GCF of 12815 and 12820 is 5
Factors of 12815
List of positive integer factors of 12815 that divides 12815 without a remainder.
1,5,11,55,233,1165,2563,12815
Factors of 12820
List of positive integer factors of 12820 that divides 12820 without a remainder.
1,2,4,5,10,20,641,1282,2564,3205,6410,12820
Greatest Common Factor
We found the factors and prime factorization of 12815 and 12820. The biggest common factor number is the GCF number.
So the greatest common factor 12815 and 12820 is 5.
Also check out the Least Common Multiple of 12815 and 12820
(i) The GCF of 12815 and 12820 is associative
GCF of 12815 and 12820 = GCF of 12820 and 12815
1. What is the GCF of 12815 and 12820?
Answer: GCF of 12815 and 12820 is 5.
2. What are the Factors of 12815?
Answer: Factors of 12815 are 1, 5, 11, 55, 233, 1165, 2563, 12815. There are 8 integers that are factors of 12815. The greatest factor of 12815 is 12815.
3. What are the Factors of 12820?
Answer: Factors of 12820 are 1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820. There are 12 integers that are factors of 12820. The greatest factor of 12820 is 12820.
4. How to Find the GCF of 12815 and 12820?
Answer:
Greatest Common Factor of 12815 and 12820 = 5
Step 1: Find the prime factorization of 12815
12815 = 5 x 11 x 233
Step 2: Find the prime factorization of 12820
12820 = 2 x 2 x 5 x 641
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 12815 and 12820 is 5