Greatest Common Factor of 3216 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 3216, 3222 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3216 and 3222 is 6.

GCF(3216,3222) = 6

GCF of 3216 and 3222

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

GCF of:
and

Greatest Common Factor of 3216 and 3222

GCF of 3216 and 3222 is 6

Prime Factorization of 3216


2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 3216 are 2,3,67. Prime factorization of 3216 in exponential form is:

3216 = 24×31×671

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 3216 and 3222 is 6

Greatest Common Factor of 3216 and 3222 by matching factors method

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216

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 3216 and 3222. The biggest common factor number is the GCF number.
So the greatest common factor 3216 and 3222 is 6.

Also check out the Least Common Multiple of 3216 and 3222

Properties of GCF 3216 and 3222

(i) The GCF of 3216 and 3222 is associative

GCF of 3216 and 3222 = GCF of 3222 and 3216

Related Greatest Common Factor of 3216

Related Greatest Common Factor of 3222

Frequently Asked Questions on GCF of 3216 and 3222

1. What is the GCF of 3216 and 3222?

Answer: GCF of 3216 and 3222 is 6.

2. What are the Factors of 3216?

Answer: Factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216. There are 20 integers that are factors of 3216. The greatest factor of 3216 is 3216.

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 3216 and 3222?

Answer:

Greatest Common Factor of 3216 and 3222 = 6

Step 1: Find the prime factorization of 3216

3216 = 2 x 2 x 2 x 2 x 3 x 67

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 3216 and 3222 is 6