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, 3248 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3246 and 3248 is 2.
GCF(3246,3248) = 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 3248
2 | 3248 |
2 | 1624 |
2 | 812 |
2 | 406 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 3248 are 2,7,29. Prime factorization of 3248 in exponential form is:
3248 = 24×71×291
∴ So by taking common prime factors GCF of 3246 and 3248 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 3248
List of positive integer factors of 3248 that divides 3248 without a remainder.
1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248
Greatest Common Factor
We found the factors and prime factorization of 3246 and 3248. The biggest common factor number is the GCF number.
So the greatest common factor 3246 and 3248 is 2.
Also check out the Least Common Multiple of 3246 and 3248
(i) The GCF of 3246 and 3248 is associative
GCF of 3246 and 3248 = GCF of 3248 and 3246
1. What is the GCF of 3246 and 3248?
Answer: GCF of 3246 and 3248 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 3248?
Answer: Factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248. There are 20 integers that are factors of 3248. The greatest factor of 3248 is 3248.
4. How to Find the GCF of 3246 and 3248?
Answer:
Greatest Common Factor of 3246 and 3248 = 2
Step 1: Find the prime factorization of 3246
3246 = 2 x 3 x 541
Step 2: Find the prime factorization of 3248
3248 = 2 x 2 x 2 x 2 x 7 x 29
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 3248 is 2