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 3250, 3256 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3250 and 3256 is 2.
GCF(3250,3256) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3250
2 | 3250 |
5 | 1625 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 3250 are 2,5,13. Prime factorization of 3250 in exponential form is:
3250 = 21×53×131
Prime Factorization of 3256
2 | 3256 |
2 | 1628 |
2 | 814 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 3256 are 2,11,37. Prime factorization of 3256 in exponential form is:
3256 = 23×111×371
∴ So by taking common prime factors GCF of 3250 and 3256 is 2
Factors of 3250
List of positive integer factors of 3250 that divides 3250 without a remainder.
1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Factors of 3256
List of positive integer factors of 3256 that divides 3256 without a remainder.
1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Greatest Common Factor
We found the factors and prime factorization of 3250 and 3256. The biggest common factor number is the GCF number.
So the greatest common factor 3250 and 3256 is 2.
Also check out the Least Common Multiple of 3250 and 3256
(i) The GCF of 3250 and 3256 is associative
GCF of 3250 and 3256 = GCF of 3256 and 3250
1. What is the GCF of 3250 and 3256?
Answer: GCF of 3250 and 3256 is 2.
2. What are the Factors of 3250?
Answer: Factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. There are 16 integers that are factors of 3250. The greatest factor of 3250 is 3250.
3. What are the Factors of 3256?
Answer: Factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. There are 16 integers that are factors of 3256. The greatest factor of 3256 is 3256.
4. How to Find the GCF of 3250 and 3256?
Answer:
Greatest Common Factor of 3250 and 3256 = 2
Step 1: Find the prime factorization of 3250
3250 = 2 x 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 3256
3256 = 2 x 2 x 2 x 11 x 37
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 3250 and 3256 is 2