Greatest Common Factor of 3254 and 3258

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 3254, 3258 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3254 and 3258 is 2.

GCF(3254,3258) = 2

GCF of 3254 and 3258

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

GCF of:
and

Greatest Common Factor of 3254 and 3258

GCF of 3254 and 3258 is 2

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

Prime Factorization of 3258


2 3258
3 1629
3 543
181 181
1

Prime factors of 3258 are 2,3,181. Prime factorization of 3258 in exponential form is:

3258 = 21×32×1811

∴ So by taking common prime factors GCF of 3254 and 3258 is 2

Greatest Common Factor of 3254 and 3258 by matching factors method

Factors of 3254

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

1,2,1627,3254

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

Greatest Common Factor

We found the factors and prime factorization of 3254 and 3258. The biggest common factor number is the GCF number.
So the greatest common factor 3254 and 3258 is 2.

Also check out the Least Common Multiple of 3254 and 3258

Properties of GCF 3254 and 3258

(i) The GCF of 3254 and 3258 is associative

GCF of 3254 and 3258 = GCF of 3258 and 3254

Related Greatest Common Factor of 3254

Related Greatest Common Factor of 3258

Frequently Asked Questions on GCF of 3254 and 3258

1. What is the GCF of 3254 and 3258?

Answer: GCF of 3254 and 3258 is 2.

2. 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.

3. What are the Factors of 3258?

Answer: Factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258. There are 12 integers that are factors of 3258. The greatest factor of 3258 is 3258.

4. How to Find the GCF of 3254 and 3258?

Answer:

Greatest Common Factor of 3254 and 3258 = 2

Step 1: Find the prime factorization of 3254

3254 = 2 x 1627

Step 2: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

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 3254 and 3258 is 2