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 3476, 3482 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3476 and 3482 is 2.
GCF(3476,3482) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3476
2 | 3476 |
2 | 1738 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 3476 are 2,11,79. Prime factorization of 3476 in exponential form is:
3476 = 22×111×791
Prime Factorization of 3482
2 | 3482 |
1741 | 1741 |
1 |
Prime factors of 3482 are 2,1741. Prime factorization of 3482 in exponential form is:
3482 = 21×17411
∴ So by taking common prime factors GCF of 3476 and 3482 is 2
Factors of 3476
List of positive integer factors of 3476 that divides 3476 without a remainder.
1,2,4,11,22,44,79,158,316,869,1738,3476
Factors of 3482
List of positive integer factors of 3482 that divides 3482 without a remainder.
1,2,1741,3482
Greatest Common Factor
We found the factors and prime factorization of 3476 and 3482. The biggest common factor number is the GCF number.
So the greatest common factor 3476 and 3482 is 2.
Also check out the Least Common Multiple of 3476 and 3482
(i) The GCF of 3476 and 3482 is associative
GCF of 3476 and 3482 = GCF of 3482 and 3476
1. What is the GCF of 3476 and 3482?
Answer: GCF of 3476 and 3482 is 2.
2. What are the Factors of 3476?
Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.
3. What are the Factors of 3482?
Answer: Factors of 3482 are 1, 2, 1741, 3482. There are 4 integers that are factors of 3482. The greatest factor of 3482 is 3482.
4. How to Find the GCF of 3476 and 3482?
Answer:
Greatest Common Factor of 3476 and 3482 = 2
Step 1: Find the prime factorization of 3476
3476 = 2 x 2 x 11 x 79
Step 2: Find the prime factorization of 3482
3482 = 2 x 1741
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 3476 and 3482 is 2