Greatest Common Factor of 8204 and 8208

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 8204, 8208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8204 and 8208 is 4.

GCF(8204,8208) = 4

GCF of 8204 and 8208

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

GCF of:
and

Greatest Common Factor of 8204 and 8208

GCF of 8204 and 8208 is 4

Prime Factorization of 8204


2 8204
2 4102
7 2051
293 293
1

Prime factors of 8204 are 2,7,293. Prime factorization of 8204 in exponential form is:

8204 = 22×71×2931

Prime Factorization of 8208


2 8208
2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 8208 are 2,3,19. Prime factorization of 8208 in exponential form is:

8208 = 24×33×191

∴ So by taking common prime factors GCF of 8204 and 8208 is 4

Greatest Common Factor of 8204 and 8208 by matching factors method

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Greatest Common Factor

We found the factors and prime factorization of 8204 and 8208. The biggest common factor number is the GCF number.
So the greatest common factor 8204 and 8208 is 4.

Also check out the Least Common Multiple of 8204 and 8208

Properties of GCF 8204 and 8208

(i) The GCF of 8204 and 8208 is associative

GCF of 8204 and 8208 = GCF of 8208 and 8204

Related Greatest Common Factor of 8204

Related Greatest Common Factor of 8208

Frequently Asked Questions on GCF of 8204 and 8208

1. What is the GCF of 8204 and 8208?

Answer: GCF of 8204 and 8208 is 4.

2. What are the Factors of 8204?

Answer: Factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204. There are 12 integers that are factors of 8204. The greatest factor of 8204 is 8204.

3. What are the Factors of 8208?

Answer: Factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208. There are 40 integers that are factors of 8208. The greatest factor of 8208 is 8208.

4. How to Find the GCF of 8204 and 8208?

Answer:

Greatest Common Factor of 8204 and 8208 = 4

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8208

8208 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8204 and 8208 is 4