What is the Greatest Common Factor of 65 and 73?

Greatest common factor (GCF) of 65 and 73 is 1.

GCF(65,73) = 1

We will now calculate the prime factors of 65 and 73, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65 and 73.

How to find the GCF of 65 and 73?

We will first find the prime factorization of 65 and 73. After we will calculate the factors of 65 and 73 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 73

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 73¹

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 73

List of positive integer factors of 73 that divides 65 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65 and 73. The biggest common factor number is the GCF number.
So the greatest common factor 65 and 73 is 1.

Also check out the Least Common Multiple of 65 and 73