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 3246, 3250 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3246 and 3250 is 2.
GCF(3246,3250) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3246
2 | 3246 |
3 | 1623 |
541 | 541 |
1 |
Prime factors of 3246 are 2,3,541. Prime factorization of 3246 in exponential form is:
3246 = 21×31×5411
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
∴ So by taking common prime factors GCF of 3246 and 3250 is 2
Factors of 3246
List of positive integer factors of 3246 that divides 3246 without a remainder.
1,2,3,6,541,1082,1623,3246
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
Greatest Common Factor
We found the factors and prime factorization of 3246 and 3250. The biggest common factor number is the GCF number.
So the greatest common factor 3246 and 3250 is 2.
Also check out the Least Common Multiple of 3246 and 3250
(i) The GCF of 3246 and 3250 is associative
GCF of 3246 and 3250 = GCF of 3250 and 3246
1. What is the GCF of 3246 and 3250?
Answer: GCF of 3246 and 3250 is 2.
2. What are the Factors of 3246?
Answer: Factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246. There are 8 integers that are factors of 3246. The greatest factor of 3246 is 3246.
3. 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.
4. How to Find the GCF of 3246 and 3250?
Answer:
Greatest Common Factor of 3246 and 3250 = 2
Step 1: Find the prime factorization of 3246
3246 = 2 x 3 x 541
Step 2: Find the prime factorization of 3250
3250 = 2 x 5 x 5 x 5 x 13
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 3246 and 3250 is 2