What is the Greatest Common Factor of 65 and 9?

Greatest common factor (GCF) of 65 and 9 is 1.

GCF(65,9) = 1

We will now calculate the prime factors of 65 and 9, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65 and 9.

How to find the GCF of 65 and 9?

We will first find the prime factorization of 65 and 9. After we will calculate the factors of 65 and 9 and find the biggest common factor number .

Step-1: Prime Factorization of 65

Prime factors of 65 are 5, 13. Prime factorization of 65 in exponential form is:

65 = 5¹ × 13¹

Step-2: Prime Factorization of 9

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 3²

Step-3: Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1, 5, 13

Step-4: Factors of 9

List of positive integer factors of 9 that divides 65 without a remainder.

1, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65 and 9. The biggest common factor number is the GCF number.
So the greatest common factor 65 and 9 is 1.

Also check out the Least Common Multiple of 65 and 9