Greatest Common Factor of 9209 and 9215

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

• Greatest Common Factor of 9209 and 9215 by prime factorization method
• Greatest Common Factor of 9209 and 9215 by matching factors method

Prime Factorization of 9209

Prime factors of 9209 are 9209. Prime factorization of 9209 in exponential form is:

9209 = 9209¹

Prime Factorization of 9215

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

9215 = 5¹×19¹×97¹

∴ So by taking common prime factors GCF of 9209 and 9215 is 1

Factors of 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1,9209

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 9209 and 9215. The biggest common factor number is the GCF number.
So the greatest common factor 9209 and 9215 is 1.

Also check out the Least Common Multiple of 9209 and 9215

(i) The GCF of 9209 and 9215 is associative

GCF of 9209 and 9215 = GCF of 9215 and 9209

1. What is the GCF of 9209 and 9215?

Answer: GCF of 9209 and 9215 is 1.

2. What are the Factors of 9209?

Answer: Factors of 9209 are 1, 9209. There are 2 integers that are factors of 9209. The greatest factor of 9209 is 9209.

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 9209 and 9215?

Answer:

Greatest Common Factor of 9209 and 9215 = 1

Step 1: Find the prime factorization of 9209

9209 = 9209

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 9209 and 9215 is 1