Greatest Common Factor of 8208 and 8215

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 8208, 8215 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8208 and 8215 is 1.

GCF(8208,8215) = 1

GCF of 8208 and 8215

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

GCF of:
and

Greatest Common Factor of 8208 and 8215

GCF of 8208 and 8215 is 1

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

Prime Factorization of 8215


5 8215
31 1643
53 53
1

Prime factors of 8215 are 5,31,53. Prime factorization of 8215 in exponential form is:

8215 = 51×311×531

∴ So by taking common prime factors GCF of 8208 and 8215 is 1

Greatest Common Factor of 8208 and 8215 by matching factors method

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

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Greatest Common Factor

We found the factors and prime factorization of 8208 and 8215. The biggest common factor number is the GCF number.
So the greatest common factor 8208 and 8215 is 1.

Also check out the Least Common Multiple of 8208 and 8215

Properties of GCF 8208 and 8215

(i) The GCF of 8208 and 8215 is associative

GCF of 8208 and 8215 = GCF of 8215 and 8208

Related Greatest Common Factor of 8208

Related Greatest Common Factor of 8215

Frequently Asked Questions on GCF of 8208 and 8215

1. What is the GCF of 8208 and 8215?

Answer: GCF of 8208 and 8215 is 1.

2. 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.

3. What are the Factors of 8215?

Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.

4. How to Find the GCF of 8208 and 8215?

Answer:

Greatest Common Factor of 8208 and 8215 = 1

Step 1: Find the prime factorization of 8208

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

Step 2: Find the prime factorization of 8215

8215 = 5 x 31 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8208 and 8215 is 1