Greatest Common Factor of 3274 and 3278

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, 3278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3274 and 3278 is 2.

GCF(3274,3278) = 2

GCF of 3274 and 3278

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

GCF of:
and

Greatest Common Factor of 3274 and 3278

GCF of 3274 and 3278 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 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

∴ So by taking common prime factors GCF of 3274 and 3278 is 2

Greatest Common Factor of 3274 and 3278 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 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1,2,11,22,149,298,1639,3278

Greatest Common Factor

We found the factors and prime factorization of 3274 and 3278. The biggest common factor number is the GCF number.
So the greatest common factor 3274 and 3278 is 2.

Also check out the Least Common Multiple of 3274 and 3278

Properties of GCF 3274 and 3278

(i) The GCF of 3274 and 3278 is associative

GCF of 3274 and 3278 = GCF of 3278 and 3274

Related Greatest Common Factor of 3274

Related Greatest Common Factor of 3278

Frequently Asked Questions on GCF of 3274 and 3278

1. What is the GCF of 3274 and 3278?

Answer: GCF of 3274 and 3278 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 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.

4. How to Find the GCF of 3274 and 3278?

Answer:

Greatest Common Factor of 3274 and 3278 = 2

Step 1: Find the prime factorization of 3274

3274 = 2 x 1637

Step 2: Find the prime factorization of 3278

3278 = 2 x 11 x 149

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 3278 is 2