Greatest Common Factor of 3271 and 3278

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 3271, 3278 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3271 and 3278 is 1.

GCF(3271,3278) = 1

GCF of 3271 and 3278

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

GCF of:
and

Greatest Common Factor of 3271 and 3278

GCF of 3271 and 3278 is 1

Prime Factorization of 3271


3271 3271
1

Prime factors of 3271 are 3271. Prime factorization of 3271 in exponential form is:

3271 = 32711

Prime Factorization of 3278


2 3278
11 1639
149 149
1

Prime factors of 3278 are 2.Prime factorization of 3278 in exponential form is:

3278 = 21×111×1491

∴ So by taking common prime factors GCF of 3271 and 3278 is 1

Greatest Common Factor of 3271 and 3278 by matching factors method

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1,3271

Factors of 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1,2,11,22,149,298,1639,3278

Greatest Common Factor

We found the factors and prime factorization of 3271 and 3278. The biggest common factor number is the GCF number.
So the greatest common factor 3271 and 3278 is 1.

Also check out the Least Common Multiple of 3271 and 3278

Properties of GCF 3271 and 3278

(i) The GCF of 3271 and 3278 is associative

GCF of 3271 and 3278 = GCF of 3278 and 3271

Frequently Asked Questions on GCF of 3271 and 3278

1. What is the GCF of 3271 and 3278?

Answer: GCF of 3271 and 3278 is 1.

2. What are the Factors of 3271?

Answer: Factors of 3271 are 1, 3271. There are 2 integers that are factors of 3271. The greatest factor of 3271 is 3271.

3. What are the Factors of 3278?

Answer: Factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278. There are 8 integers that are factors of 3278. The greatest factor of 3278 is 3278.

4. How to Find the GCF of 3271 and 3278?

Answer:

Greatest Common Factor of 3271 and 3278 = 1

Step 1: Find the prime factorization of 3271

3271 = 3271

Step 2: Find the prime factorization of 3278

3278 = 2 x 11 x 149

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3271 and 3278 is 1