Greatest Common Factor of 3250 and 3254

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 3250, 3254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3250 and 3254 is 2.

GCF(3250,3254) = 2

GCF of 3250 and 3254

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

GCF of:
and

Greatest Common Factor of 3250 and 3254

GCF of 3250 and 3254 is 2

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

Prime Factorization of 3254


2 3254
1627 1627
1

Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:

3254 = 21×16271

∴ So by taking common prime factors GCF of 3250 and 3254 is 2

Greatest Common Factor of 3250 and 3254 by matching factors method

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

Factors of 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1,2,1627,3254

Greatest Common Factor

We found the factors and prime factorization of 3250 and 3254. The biggest common factor number is the GCF number.
So the greatest common factor 3250 and 3254 is 2.

Also check out the Least Common Multiple of 3250 and 3254

Properties of GCF 3250 and 3254

(i) The GCF of 3250 and 3254 is associative

GCF of 3250 and 3254 = GCF of 3254 and 3250

Related Greatest Common Factor of 3250

Related Greatest Common Factor of 3254

Frequently Asked Questions on GCF of 3250 and 3254

1. What is the GCF of 3250 and 3254?

Answer: GCF of 3250 and 3254 is 2.

2. 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.

3. What are the Factors of 3254?

Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.

4. How to Find the GCF of 3250 and 3254?

Answer:

Greatest Common Factor of 3250 and 3254 = 2

Step 1: Find the prime factorization of 3250

3250 = 2 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 3254

3254 = 2 x 1627

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 3250 and 3254 is 2