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 1250, 1256 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1250 and 1256 is 2.
GCF(1250,1256) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1250
2 | 1250 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 1250 are 2,5. Prime factorization of 1250 in exponential form is:
1250 = 21×54
Prime Factorization of 1256
2 | 1256 |
2 | 628 |
2 | 314 |
157 | 157 |
1 |
Prime factors of 1256 are 2,157. Prime factorization of 1256 in exponential form is:
1256 = 23×1571
∴ So by taking common prime factors GCF of 1250 and 1256 is 2
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1,2,5,10,25,50,125,250,625,1250
Factors of 1256
List of positive integer factors of 1256 that divides 1256 without a remainder.
1,2,4,8,157,314,628,1256
Greatest Common Factor
We found the factors and prime factorization of 1250 and 1256. The biggest common factor number is the GCF number.
So the greatest common factor 1250 and 1256 is 2.
Also check out the Least Common Multiple of 1250 and 1256
(i) The GCF of 1250 and 1256 is associative
GCF of 1250 and 1256 = GCF of 1256 and 1250
1. What is the GCF of 1250 and 1256?
Answer: GCF of 1250 and 1256 is 2.
2. What are the Factors of 1250?
Answer: Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are 10 integers that are factors of 1250. The greatest factor of 1250 is 1250.
3. What are the Factors of 1256?
Answer: Factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256. There are 8 integers that are factors of 1256. The greatest factor of 1256 is 1256.
4. How to Find the GCF of 1250 and 1256?
Answer:
Greatest Common Factor of 1250 and 1256 = 2
Step 1: Find the prime factorization of 1250
1250 = 2 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 1256
1256 = 2 x 2 x 2 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1250 and 1256 is 2