Greatest Common Factor of 3274 and 3280

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 3274, 3280 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3274 and 3280 is 2.

GCF(3274,3280) = 2

GCF of 3274 and 3280

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3274 and 3280

GCF of 3274 and 3280 is 2

Prime Factorization of 3274


2 3274
1637 1637
1

Prime factors of 3274 are 2,1637. Prime factorization of 3274 in exponential form is:

3274 = 21×16371

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 3274 and 3280 is 2

Greatest Common Factor of 3274 and 3280 by matching factors method

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1,2,1637,3274

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 3274 and 3280. The biggest common factor number is the GCF number.
So the greatest common factor 3274 and 3280 is 2.

Also check out the Least Common Multiple of 3274 and 3280

Properties of GCF 3274 and 3280

(i) The GCF of 3274 and 3280 is associative

GCF of 3274 and 3280 = GCF of 3280 and 3274

Related Greatest Common Factor of 3274

Related Greatest Common Factor of 3280

Frequently Asked Questions on GCF of 3274 and 3280

1. What is the GCF of 3274 and 3280?

Answer: GCF of 3274 and 3280 is 2.

2. What are the Factors of 3274?

Answer: Factors of 3274 are 1, 2, 1637, 3274. There are 4 integers that are factors of 3274. The greatest factor of 3274 is 3274.

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 3274 and 3280?

Answer:

Greatest Common Factor of 3274 and 3280 = 2

Step 1: Find the prime factorization of 3274

3274 = 2 x 1637

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 3274 and 3280 is 2