Greatest Common Factor of 3259 and 3265

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

• Greatest Common Factor of 3259 and 3265 by prime factorization method
• Greatest Common Factor of 3259 and 3265 by matching factors method

Prime Factorization of 3259

Prime factors of 3259 are 3259. Prime factorization of 3259 in exponential form is:

3259 = 3259¹

Prime Factorization of 3265

Prime factors of 3265 are 5.Prime factorization of 3265 in exponential form is:

3265 = 5¹×653¹

∴ So by taking common prime factors GCF of 3259 and 3265 is 1

Factors of 3259

List of positive integer factors of 3259 that divides 3259 without a remainder.

1,3259

Factors of 3265

List of positive integer factors of 3265 that divides 3265 without a remainder.

1,5,653,3265

Greatest Common Factor

We found the factors and prime factorization of 3259 and 3265. The biggest common factor number is the GCF number.
So the greatest common factor 3259 and 3265 is 1.

Also check out the Least Common Multiple of 3259 and 3265

(i) The GCF of 3259 and 3265 is associative

GCF of 3259 and 3265 = GCF of 3265 and 3259

1. What is the GCF of 3259 and 3265?

Answer: GCF of 3259 and 3265 is 1.

2. What are the Factors of 3259?

Answer: Factors of 3259 are 1, 3259. There are 2 integers that are factors of 3259. The greatest factor of 3259 is 3259.

3. What are the Factors of 3265?

Answer: Factors of 3265 are 1, 5, 653, 3265. There are 4 integers that are factors of 3265. The greatest factor of 3265 is 3265.

4. How to Find the GCF of 3259 and 3265?

Answer:

Greatest Common Factor of 3259 and 3265 = 1

Step 1: Find the prime factorization of 3259

3259 = 3259

Step 2: Find the prime factorization of 3265

3265 = 5 x 653

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 3259 and 3265 is 1