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 3278, 3280 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3278 and 3280 is 2.
GCF(3278,3280) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3278
2 | 3278 |
11 | 1639 |
149 | 149 |
1 |
Prime factors of 3278 are 2,11,149. Prime factorization of 3278 in exponential form is:
3278 = 21×111×1491
Prime Factorization of 3280
2 | 3280 |
2 | 1640 |
2 | 820 |
2 | 410 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 3280 are 2,5,41. Prime factorization of 3280 in exponential form is:
3280 = 24×51×411
∴ So by taking common prime factors GCF of 3278 and 3280 is 2
Factors of 3278
List of positive integer factors of 3278 that divides 3278 without a remainder.
1,2,11,22,149,298,1639,3278
Factors of 3280
List of positive integer factors of 3280 that divides 3280 without a remainder.
1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors and prime factorization of 3278 and 3280. The biggest common factor number is the GCF number.
So the greatest common factor 3278 and 3280 is 2.
Also check out the Least Common Multiple of 3278 and 3280
(i) The GCF of 3278 and 3280 is associative
GCF of 3278 and 3280 = GCF of 3280 and 3278
1. What is the GCF of 3278 and 3280?
Answer: GCF of 3278 and 3280 is 2.
2. What are the Factors of 3278?
Answer: Factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278. There are 8 integers that are factors of 3278. The greatest factor of 3278 is 3278.
3. What are the Factors of 3280?
Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.
4. How to Find the GCF of 3278 and 3280?
Answer:
Greatest Common Factor of 3278 and 3280 = 2
Step 1: Find the prime factorization of 3278
3278 = 2 x 11 x 149
Step 2: Find the prime factorization of 3280
3280 = 2 x 2 x 2 x 2 x 5 x 41
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 3278 and 3280 is 2