Greatest Common Factor of 2208 and 2216

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 2208, 2216 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2208 and 2216 is 8.

GCF(2208,2216) = 8

GCF of 2208 and 2216

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

GCF of:
and

Greatest Common Factor of 2208 and 2216

GCF of 2208 and 2216 is 8

Prime Factorization of 2208


2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 2208 are 2,3,23. Prime factorization of 2208 in exponential form is:

2208 = 25×31×231

Prime Factorization of 2216


2 2216
2 1108
2 554
277 277
1

Prime factors of 2216 are 2,277. Prime factorization of 2216 in exponential form is:

2216 = 23×2771

∴ So by taking common prime factors GCF of 2208 and 2216 is 8

Greatest Common Factor of 2208 and 2216 by matching factors method

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors and prime factorization of 2208 and 2216. The biggest common factor number is the GCF number.
So the greatest common factor 2208 and 2216 is 8.

Also check out the Least Common Multiple of 2208 and 2216

Properties of GCF 2208 and 2216

(i) The GCF of 2208 and 2216 is associative

GCF of 2208 and 2216 = GCF of 2216 and 2208

Related Greatest Common Factor of 2208

Related Greatest Common Factor of 2216

Frequently Asked Questions on GCF of 2208 and 2216

1. What is the GCF of 2208 and 2216?

Answer: GCF of 2208 and 2216 is 8.

2. What are the Factors of 2208?

Answer: Factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. There are 24 integers that are factors of 2208. The greatest factor of 2208 is 2208.

3. What are the Factors of 2216?

Answer: Factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216. There are 8 integers that are factors of 2216. The greatest factor of 2216 is 2216.

4. How to Find the GCF of 2208 and 2216?

Answer:

Greatest Common Factor of 2208 and 2216 = 8

Step 1: Find the prime factorization of 2208

2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

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 2208 and 2216 is 8