What is the Greatest Common Factor of 65905 and 65909?

Greatest common factor (GCF) of 65905 and 65909 is 1.

GCF(65905,65909) = 1

We will now calculate the prime factors of 65905 and 65909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65905 and 65909.

How to find the GCF of 65905 and 65909?

We will first find the prime factorization of 65905 and 65909. After we will calculate the factors of 65905 and 65909 and find the biggest common factor number .

Step-1: Prime Factorization of 65905

Prime factors of 65905 are 5, 7, 269. Prime factorization of 65905 in exponential form is:

65905 = 5¹ × 7² × 269¹

Step-2: Prime Factorization of 65909

Prime factors of 65909 are 17, 3877. Prime factorization of 65909 in exponential form is:

65909 = 17¹ × 3877¹

Step-3: Factors of 65905

List of positive integer factors of 65905 that divides 65905 without a remainder.

1, 5, 7, 35, 49, 245, 269, 1345, 1883, 9415, 13181

Step-4: Factors of 65909

List of positive integer factors of 65909 that divides 65905 without a remainder.

1, 17, 3877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65905 and 65909. The biggest common factor number is the GCF number.
So the greatest common factor 65905 and 65909 is 1.

Also check out the Least Common Multiple of 65905 and 65909