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 12850, 12857 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12850 and 12857 is 1.
GCF(12850,12857) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12850
2 | 12850 |
5 | 6425 |
5 | 1285 |
257 | 257 |
1 |
Prime factors of 12850 are 2,5,257. Prime factorization of 12850 in exponential form is:
12850 = 21×52×2571
Prime Factorization of 12857
13 | 12857 |
23 | 989 |
43 | 43 |
1 |
Prime factors of 12857 are 13,23,43. Prime factorization of 12857 in exponential form is:
12857 = 131×231×431
∴ So by taking common prime factors GCF of 12850 and 12857 is 1
Factors of 12850
List of positive integer factors of 12850 that divides 12850 without a remainder.
1,2,5,10,25,50,257,514,1285,2570,6425,12850
Factors of 12857
List of positive integer factors of 12857 that divides 12857 without a remainder.
1,13,23,43,299,559,989,12857
Greatest Common Factor
We found the factors and prime factorization of 12850 and 12857. The biggest common factor number is the GCF number.
So the greatest common factor 12850 and 12857 is 1.
Also check out the Least Common Multiple of 12850 and 12857
(i) The GCF of 12850 and 12857 is associative
GCF of 12850 and 12857 = GCF of 12857 and 12850
1. What is the GCF of 12850 and 12857?
Answer: GCF of 12850 and 12857 is 1.
2. What are the Factors of 12850?
Answer: Factors of 12850 are 1, 2, 5, 10, 25, 50, 257, 514, 1285, 2570, 6425, 12850. There are 12 integers that are factors of 12850. The greatest factor of 12850 is 12850.
3. What are the Factors of 12857?
Answer: Factors of 12857 are 1, 13, 23, 43, 299, 559, 989, 12857. There are 8 integers that are factors of 12857. The greatest factor of 12857 is 12857.
4. How to Find the GCF of 12850 and 12857?
Answer:
Greatest Common Factor of 12850 and 12857 = 1
Step 1: Find the prime factorization of 12850
12850 = 2 x 5 x 5 x 257
Step 2: Find the prime factorization of 12857
12857 = 13 x 23 x 43
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 12850 and 12857 is 1