Greatest Common Factor of 3254 and 3260

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 3254, 3260 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3254 and 3260 is 2.

GCF(3254,3260) = 2

GCF of 3254 and 3260

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

GCF of:
and

Greatest Common Factor of 3254 and 3260

GCF of 3254 and 3260 is 2

Prime Factorization of 3254


2 3254
1627 1627
1

Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:

3254 = 21×16271

Prime Factorization of 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2,5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

∴ So by taking common prime factors GCF of 3254 and 3260 is 2

Greatest Common Factor of 3254 and 3260 by matching factors method

Factors of 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1,2,1627,3254

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1,2,4,5,10,20,163,326,652,815,1630,3260

Greatest Common Factor

We found the factors and prime factorization of 3254 and 3260. The biggest common factor number is the GCF number.
So the greatest common factor 3254 and 3260 is 2.

Also check out the Least Common Multiple of 3254 and 3260

Properties of GCF 3254 and 3260

(i) The GCF of 3254 and 3260 is associative

GCF of 3254 and 3260 = GCF of 3260 and 3254

Related Greatest Common Factor of 3254

Related Greatest Common Factor of 3260

Frequently Asked Questions on GCF of 3254 and 3260

1. What is the GCF of 3254 and 3260?

Answer: GCF of 3254 and 3260 is 2.

2. What are the Factors of 3254?

Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.

3. What are the Factors of 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

4. How to Find the GCF of 3254 and 3260?

Answer:

Greatest Common Factor of 3254 and 3260 = 2

Step 1: Find the prime factorization of 3254

3254 = 2 x 1627

Step 2: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

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 3254 and 3260 is 2