Greatest Common Factor of 3244 and 3248

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, 3248 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3244 and 3248 is 4.

GCF(3244,3248) = 4

GCF of 3244 and 3248

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

GCF of:
and

Greatest Common Factor of 3244 and 3248

GCF of 3244 and 3248 is 4

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 3248


2 3248
2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 3248 are 2,7,29. Prime factorization of 3248 in exponential form is:

3248 = 24×71×291

∴ So by taking common prime factors GCF of 3244 and 3248 is 4

Greatest Common Factor of 3244 and 3248 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 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors and prime factorization of 3244 and 3248. The biggest common factor number is the GCF number.
So the greatest common factor 3244 and 3248 is 4.

Also check out the Least Common Multiple of 3244 and 3248

Properties of GCF 3244 and 3248

(i) The GCF of 3244 and 3248 is associative

GCF of 3244 and 3248 = GCF of 3248 and 3244

Related Greatest Common Factor of 3244

Related Greatest Common Factor of 3248

Frequently Asked Questions on GCF of 3244 and 3248

1. What is the GCF of 3244 and 3248?

Answer: GCF of 3244 and 3248 is 4.

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 3248?

Answer: Factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248. There are 20 integers that are factors of 3248. The greatest factor of 3248 is 3248.

4. How to Find the GCF of 3244 and 3248?

Answer:

Greatest Common Factor of 3244 and 3248 = 4

Step 1: Find the prime factorization of 3244

3244 = 2 x 2 x 811

Step 2: Find the prime factorization of 3248

3248 = 2 x 2 x 2 x 2 x 7 x 29

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 3244 and 3248 is 4