Greatest Common Factor of 3260 and 3268

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 3260, 3268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3260 and 3268 is 4.

GCF(3260,3268) = 4

GCF of 3260 and 3268

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

GCF of:
and

Greatest Common Factor of 3260 and 3268

GCF of 3260 and 3268 is 4

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

Prime Factorization of 3268


2 3268
2 1634
19 817
43 43
1

Prime factors of 3268 are 2,19,43. Prime factorization of 3268 in exponential form is:

3268 = 22×191×431

∴ So by taking common prime factors GCF of 3260 and 3268 is 4

Greatest Common Factor of 3260 and 3268 by matching factors method

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

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1,2,4,19,38,43,76,86,172,817,1634,3268

Greatest Common Factor

We found the factors and prime factorization of 3260 and 3268. The biggest common factor number is the GCF number.
So the greatest common factor 3260 and 3268 is 4.

Also check out the Least Common Multiple of 3260 and 3268

Properties of GCF 3260 and 3268

(i) The GCF of 3260 and 3268 is associative

GCF of 3260 and 3268 = GCF of 3268 and 3260

Related Greatest Common Factor of 3260

Related Greatest Common Factor of 3268

Frequently Asked Questions on GCF of 3260 and 3268

1. What is the GCF of 3260 and 3268?

Answer: GCF of 3260 and 3268 is 4.

2. 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.

3. What are the Factors of 3268?

Answer: Factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268. There are 12 integers that are factors of 3268. The greatest factor of 3268 is 3268.

4. How to Find the GCF of 3260 and 3268?

Answer:

Greatest Common Factor of 3260 and 3268 = 4

Step 1: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 3268

3268 = 2 x 2 x 19 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3260 and 3268 is 4