Greatest Common Factor of 3208 and 3216

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 3208, 3216 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3208 and 3216 is 8.

GCF(3208,3216) = 8

GCF of 3208 and 3216

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

GCF of:
and

Greatest Common Factor of 3208 and 3216

GCF of 3208 and 3216 is 8

Prime Factorization of 3208


2 3208
2 1604
2 802
401 401
1

Prime factors of 3208 are 2,401. Prime factorization of 3208 in exponential form is:

3208 = 23×4011

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

∴ So by taking common prime factors GCF of 3208 and 3216 is 8

Greatest Common Factor of 3208 and 3216 by matching factors method

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1,2,4,8,401,802,1604,3208

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

Greatest Common Factor

We found the factors and prime factorization of 3208 and 3216. The biggest common factor number is the GCF number.
So the greatest common factor 3208 and 3216 is 8.

Also check out the Least Common Multiple of 3208 and 3216

Properties of GCF 3208 and 3216

(i) The GCF of 3208 and 3216 is associative

GCF of 3208 and 3216 = GCF of 3216 and 3208

Related Greatest Common Factor of 3208

Related Greatest Common Factor of 3216

Frequently Asked Questions on GCF of 3208 and 3216

1. What is the GCF of 3208 and 3216?

Answer: GCF of 3208 and 3216 is 8.

2. What are the Factors of 3208?

Answer: Factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208. There are 8 integers that are factors of 3208. The greatest factor of 3208 is 3208.

3. 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.

4. How to Find the GCF of 3208 and 3216?

Answer:

Greatest Common Factor of 3208 and 3216 = 8

Step 1: Find the prime factorization of 3208

3208 = 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 3216

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3208 and 3216 is 8