What is the Greatest Common Factor of 65345 and 65365?

Greatest common factor (GCF) of 65345 and 65365 is 5.

GCF(65345,65365) = 5

We will now calculate the prime factors of 65345 and 65365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65345 and 65365.

How to find the GCF of 65345 and 65365?

We will first find the prime factorization of 65345 and 65365. After we will calculate the factors of 65345 and 65365 and find the biggest common factor number .

Step-1: Prime Factorization of 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 5¹ × 7¹ × 1867¹

Step-2: Prime Factorization of 65365

Prime factors of 65365 are 5, 17, 769. Prime factorization of 65365 in exponential form is:

65365 = 5¹ × 17¹ × 769¹

Step-3: Factors of 65345

List of positive integer factors of 65345 that divides 65345 without a remainder.

1, 5, 7, 35, 1867, 9335, 13069

Step-4: Factors of 65365

List of positive integer factors of 65365 that divides 65345 without a remainder.

1, 5, 17, 85, 769, 3845, 13073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65345 and 65365. The biggest common factor number is the GCF number.
So the greatest common factor 65345 and 65365 is 5.

Also check out the Least Common Multiple of 65345 and 65365