What is the Greatest Common Factor of 65365 and 65385?

Greatest common factor (GCF) of 65365 and 65385 is 5.

GCF(65365,65385) = 5

We will now calculate the prime factors of 65365 and 65385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65365 and 65385.

How to find the GCF of 65365 and 65385?

We will first find the prime factorization of 65365 and 65385. After we will calculate the factors of 65365 and 65385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65385

Prime factors of 65385 are 3, 5, 1453. Prime factorization of 65385 in exponential form is:

65385 = 3² × 5¹ × 1453¹

Step-3: Factors of 65365

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

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

Step-4: Factors of 65385

List of positive integer factors of 65385 that divides 65365 without a remainder.

1, 3, 5, 9, 15, 45, 1453, 4359, 7265, 13077, 21795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65365 and 65385. The biggest common factor number is the GCF number.
So the greatest common factor 65365 and 65385 is 5.

Also check out the Least Common Multiple of 65365 and 65385