Greatest Common Factor of 3214 and 3222

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 3214, 3222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3214 and 3222 is 2.

GCF(3214,3222) = 2

GCF of 3214 and 3222

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

GCF of:
and

Greatest Common Factor of 3214 and 3222

GCF of 3214 and 3222 is 2

Prime Factorization of 3214


2 3214
1607 1607
1

Prime factors of 3214 are 2,1607. Prime factorization of 3214 in exponential form is:

3214 = 21×16071

Prime Factorization of 3222


2 3222
3 1611
3 537
179 179
1

Prime factors of 3222 are 2,3,179. Prime factorization of 3222 in exponential form is:

3222 = 21×32×1791

∴ So by taking common prime factors GCF of 3214 and 3222 is 2

Greatest Common Factor of 3214 and 3222 by matching factors method

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1,2,1607,3214

Factors of 3222

List of positive integer factors of 3222 that divides 3222 without a remainder.

1,2,3,6,9,18,179,358,537,1074,1611,3222

Greatest Common Factor

We found the factors and prime factorization of 3214 and 3222. The biggest common factor number is the GCF number.
So the greatest common factor 3214 and 3222 is 2.

Also check out the Least Common Multiple of 3214 and 3222

Properties of GCF 3214 and 3222

(i) The GCF of 3214 and 3222 is associative

GCF of 3214 and 3222 = GCF of 3222 and 3214

Related Greatest Common Factor of 3214

Related Greatest Common Factor of 3222

Frequently Asked Questions on GCF of 3214 and 3222

1. What is the GCF of 3214 and 3222?

Answer: GCF of 3214 and 3222 is 2.

2. What are the Factors of 3214?

Answer: Factors of 3214 are 1, 2, 1607, 3214. There are 4 integers that are factors of 3214. The greatest factor of 3214 is 3214.

3. What are the Factors of 3222?

Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.

4. How to Find the GCF of 3214 and 3222?

Answer:

Greatest Common Factor of 3214 and 3222 = 2

Step 1: Find the prime factorization of 3214

3214 = 2 x 1607

Step 2: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

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 3214 and 3222 is 2