Greatest Common Factor of 3233 and 3240

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 3233, 3240 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3233 and 3240 is 1.

GCF(3233,3240) = 1

GCF of 3233 and 3240

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

GCF of:
and

Greatest Common Factor of 3233 and 3240

GCF of 3233 and 3240 is 1

Prime Factorization of 3233


53 3233
61 61
1

Prime factors of 3233 are 53,61. Prime factorization of 3233 in exponential form is:

3233 = 531×611

Prime Factorization of 3240


2 3240
2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3240 are 2,3,5. Prime factorization of 3240 in exponential form is:

3240 = 23×34×51

∴ So by taking common prime factors GCF of 3233 and 3240 is 1

Greatest Common Factor of 3233 and 3240 by matching factors method

Factors of 3233

List of positive integer factors of 3233 that divides 3233 without a remainder.

1,53,61,3233

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240

Greatest Common Factor

We found the factors and prime factorization of 3233 and 3240. The biggest common factor number is the GCF number.
So the greatest common factor 3233 and 3240 is 1.

Also check out the Least Common Multiple of 3233 and 3240

Properties of GCF 3233 and 3240

(i) The GCF of 3233 and 3240 is associative

GCF of 3233 and 3240 = GCF of 3240 and 3233

Frequently Asked Questions on GCF of 3233 and 3240

1. What is the GCF of 3233 and 3240?

Answer: GCF of 3233 and 3240 is 1.

2. What are the Factors of 3233?

Answer: Factors of 3233 are 1, 53, 61, 3233. There are 4 integers that are factors of 3233. The greatest factor of 3233 is 3233.

3. What are the Factors of 3240?

Answer: Factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240. There are 40 integers that are factors of 3240. The greatest factor of 3240 is 3240.

4. How to Find the GCF of 3233 and 3240?

Answer:

Greatest Common Factor of 3233 and 3240 = 1

Step 1: Find the prime factorization of 3233

3233 = 53 x 61

Step 2: Find the prime factorization of 3240

3240 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

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 3233 and 3240 is 1