Greatest Common Factor of 9207 and 9215

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 9207, 9215 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9207 and 9215 is 1.

GCF(9207,9215) = 1

GCF of 9207 and 9215

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

GCF of:
and

Greatest Common Factor of 9207 and 9215

GCF of 9207 and 9215 is 1

Prime Factorization of 9207


3 9207
3 3069
3 1023
11 341
31 31
1

Prime factors of 9207 are 3,11,31. Prime factorization of 9207 in exponential form is:

9207 = 33×111×311

Prime Factorization of 9215


5 9215
19 1843
97 97
1

Prime factors of 9215 are 5,19,97. Prime factorization of 9215 in exponential form is:

9215 = 51×191×971

∴ So by taking common prime factors GCF of 9207 and 9215 is 1

Greatest Common Factor of 9207 and 9215 by matching factors method

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Factors of 9215

List of positive integer factors of 9215 that divides 9215 without a remainder.

1,5,19,95,97,485,1843,9215

Greatest Common Factor

We found the factors and prime factorization of 9207 and 9215. The biggest common factor number is the GCF number.
So the greatest common factor 9207 and 9215 is 1.

Also check out the Least Common Multiple of 9207 and 9215

Properties of GCF 9207 and 9215

(i) The GCF of 9207 and 9215 is associative

GCF of 9207 and 9215 = GCF of 9215 and 9207

Frequently Asked Questions on GCF of 9207 and 9215

1. What is the GCF of 9207 and 9215?

Answer: GCF of 9207 and 9215 is 1.

2. What are the Factors of 9207?

Answer: Factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207. There are 16 integers that are factors of 9207. The greatest factor of 9207 is 9207.

3. What are the Factors of 9215?

Answer: Factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215. There are 8 integers that are factors of 9215. The greatest factor of 9215 is 9215.

4. How to Find the GCF of 9207 and 9215?

Answer:

Greatest Common Factor of 9207 and 9215 = 1

Step 1: Find the prime factorization of 9207

9207 = 3 x 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 9215

9215 = 5 x 19 x 97

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 9207 and 9215 is 1