Greatest Common Factor of 3244 and 3250

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 3244, 3250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3244 and 3250 is 2.

GCF(3244,3250) = 2

GCF of 3244 and 3250

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

GCF of:
and

Greatest Common Factor of 3244 and 3250

GCF of 3244 and 3250 is 2

Prime Factorization of 3244


2 3244
2 1622
811 811
1

Prime factors of 3244 are 2,811. Prime factorization of 3244 in exponential form is:

3244 = 22×8111

Prime Factorization of 3250


2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 3250 are 2,5,13. Prime factorization of 3250 in exponential form is:

3250 = 21×53×131

∴ So by taking common prime factors GCF of 3244 and 3250 is 2

Greatest Common Factor of 3244 and 3250 by matching factors method

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Greatest Common Factor

We found the factors and prime factorization of 3244 and 3250. The biggest common factor number is the GCF number.
So the greatest common factor 3244 and 3250 is 2.

Also check out the Least Common Multiple of 3244 and 3250

Properties of GCF 3244 and 3250

(i) The GCF of 3244 and 3250 is associative

GCF of 3244 and 3250 = GCF of 3250 and 3244

Related Greatest Common Factor of 3244

Related Greatest Common Factor of 3250

Frequently Asked Questions on GCF of 3244 and 3250

1. What is the GCF of 3244 and 3250?

Answer: GCF of 3244 and 3250 is 2.

2. What are the Factors of 3244?

Answer: Factors of 3244 are 1, 2, 4, 811, 1622, 3244. There are 6 integers that are factors of 3244. The greatest factor of 3244 is 3244.

3. What are the Factors of 3250?

Answer: Factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. There are 16 integers that are factors of 3250. The greatest factor of 3250 is 3250.

4. How to Find the GCF of 3244 and 3250?

Answer:

Greatest Common Factor of 3244 and 3250 = 2

Step 1: Find the prime factorization of 3244

3244 = 2 x 2 x 811

Step 2: Find the prime factorization of 3250

3250 = 2 x 5 x 5 x 5 x 13

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 3244 and 3250 is 2