What is the Greatest Common Factor of 59 and 65?

Greatest common factor (GCF) of 59 and 65 is 1.

GCF(59,65) = 1

We will now calculate the prime factors of 59 and 65, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59 and 65.

How to find the GCF of 59 and 65?

We will first find the prime factorization of 59 and 65. After we will calculate the factors of 59 and 65 and find the biggest common factor number .

Step-1: Prime Factorization of 59

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 59¹

Step-2: Prime Factorization of 65

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

65 = 5¹ × 13¹

Step-3: Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

Step-4: Factors of 65

List of positive integer factors of 65 that divides 59 without a remainder.

1, 5, 13

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59 and 65. The biggest common factor number is the GCF number.
So the greatest common factor 59 and 65 is 1.

Also check out the Least Common Multiple of 59 and 65