Greatest Common Factor of 3268 and 3275

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 3268, 3275 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3268 and 3275 is 1.

GCF(3268,3275) = 1

GCF of 3268 and 3275

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

GCF of:
and

Greatest Common Factor of 3268 and 3275

GCF of 3268 and 3275 is 1

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

Prime Factorization of 3275


5 3275
5 655
131 131
1

Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:

3275 = 52×1311

∴ So by taking common prime factors GCF of 3268 and 3275 is 1

Greatest Common Factor of 3268 and 3275 by matching factors method

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

Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1,5,25,131,655,3275

Greatest Common Factor

We found the factors and prime factorization of 3268 and 3275. The biggest common factor number is the GCF number.
So the greatest common factor 3268 and 3275 is 1.

Also check out the Least Common Multiple of 3268 and 3275

Properties of GCF 3268 and 3275

(i) The GCF of 3268 and 3275 is associative

GCF of 3268 and 3275 = GCF of 3275 and 3268

Related Greatest Common Factor of 3268

Related Greatest Common Factor of 3275

Frequently Asked Questions on GCF of 3268 and 3275

1. What is the GCF of 3268 and 3275?

Answer: GCF of 3268 and 3275 is 1.

2. 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.

3. What are the Factors of 3275?

Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.

4. How to Find the GCF of 3268 and 3275?

Answer:

Greatest Common Factor of 3268 and 3275 = 1

Step 1: Find the prime factorization of 3268

3268 = 2 x 2 x 19 x 43

Step 2: Find the prime factorization of 3275

3275 = 5 x 5 x 131

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3268 and 3275 is 1