Greatest Common Factor of 3262 and 3270

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 3262, 3270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3262 and 3270 is 2.

GCF(3262,3270) = 2

GCF of 3262 and 3270

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

GCF of:
and

Greatest Common Factor of 3262 and 3270

GCF of 3262 and 3270 is 2

Prime Factorization of 3262


2 3262
7 1631
233 233
1

Prime factors of 3262 are 2,7,233. Prime factorization of 3262 in exponential form is:

3262 = 21×71×2331

Prime Factorization of 3270


2 3270
3 1635
5 545
109 109
1

Prime factors of 3270 are 2,3,5,109. Prime factorization of 3270 in exponential form is:

3270 = 21×31×51×1091

∴ So by taking common prime factors GCF of 3262 and 3270 is 2

Greatest Common Factor of 3262 and 3270 by matching factors method

Factors of 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1,2,7,14,233,466,1631,3262

Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Greatest Common Factor

We found the factors and prime factorization of 3262 and 3270. The biggest common factor number is the GCF number.
So the greatest common factor 3262 and 3270 is 2.

Also check out the Least Common Multiple of 3262 and 3270

Properties of GCF 3262 and 3270

(i) The GCF of 3262 and 3270 is associative

GCF of 3262 and 3270 = GCF of 3270 and 3262

Related Greatest Common Factor of 3262

Related Greatest Common Factor of 3270

Frequently Asked Questions on GCF of 3262 and 3270

1. What is the GCF of 3262 and 3270?

Answer: GCF of 3262 and 3270 is 2.

2. What are the Factors of 3262?

Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.

3. What are the Factors of 3270?

Answer: Factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270. There are 16 integers that are factors of 3270. The greatest factor of 3270 is 3270.

4. How to Find the GCF of 3262 and 3270?

Answer:

Greatest Common Factor of 3262 and 3270 = 2

Step 1: Find the prime factorization of 3262

3262 = 2 x 7 x 233

Step 2: Find the prime factorization of 3270

3270 = 2 x 3 x 5 x 109

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 3262 and 3270 is 2