Greatest Common Factor of 3243 and 3251

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 3243, 3251 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3243 and 3251 is 1.

GCF(3243,3251) = 1

GCF of 3243 and 3251

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

GCF of:
and

Greatest Common Factor of 3243 and 3251

GCF of 3243 and 3251 is 1

Prime Factorization of 3243


3 3243
23 1081
47 47
1

Prime factors of 3243 are 3,23,47. Prime factorization of 3243 in exponential form is:

3243 = 31×231×471

Prime Factorization of 3251


3251 3251
1

Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:

3251 = 32511

∴ So by taking common prime factors GCF of 3243 and 3251 is 1

Greatest Common Factor of 3243 and 3251 by matching factors method

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1,3,23,47,69,141,1081,3243

Factors of 3251

List of positive integer factors of 3251 that divides 3251 without a remainder.

1,3251

Greatest Common Factor

We found the factors and prime factorization of 3243 and 3251. The biggest common factor number is the GCF number.
So the greatest common factor 3243 and 3251 is 1.

Also check out the Least Common Multiple of 3243 and 3251

Properties of GCF 3243 and 3251

(i) The GCF of 3243 and 3251 is associative

GCF of 3243 and 3251 = GCF of 3251 and 3243

Frequently Asked Questions on GCF of 3243 and 3251

1. What is the GCF of 3243 and 3251?

Answer: GCF of 3243 and 3251 is 1.

2. What are the Factors of 3243?

Answer: Factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243. There are 8 integers that are factors of 3243. The greatest factor of 3243 is 3243.

3. What are the Factors of 3251?

Answer: Factors of 3251 are 1, 3251. There are 2 integers that are factors of 3251. The greatest factor of 3251 is 3251.

4. How to Find the GCF of 3243 and 3251?

Answer:

Greatest Common Factor of 3243 and 3251 = 1

Step 1: Find the prime factorization of 3243

3243 = 3 x 23 x 47

Step 2: Find the prime factorization of 3251

3251 = 3251

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 3243 and 3251 is 1