What is the Greatest Common Factor of 68365 and 68385?

Greatest common factor (GCF) of 68365 and 68385 is 5.

GCF(68365,68385) = 5

We will now calculate the prime factors of 68365 and 68385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68365 and 68385.

How to find the GCF of 68365 and 68385?

We will first find the prime factorization of 68365 and 68385. After we will calculate the factors of 68365 and 68385 and find the biggest common factor number .

Step-1: Prime Factorization of 68365

Prime factors of 68365 are 5, 11, 113. Prime factorization of 68365 in exponential form is:

68365 = 5¹ × 11² × 113¹

Step-2: Prime Factorization of 68385

Prime factors of 68385 are 3, 5, 47, 97. Prime factorization of 68385 in exponential form is:

68385 = 3¹ × 5¹ × 47¹ × 97¹

Step-3: Factors of 68365

List of positive integer factors of 68365 that divides 68365 without a remainder.

1, 5, 11, 55, 113, 121, 565, 605, 1243, 6215, 13673

Step-4: Factors of 68385

List of positive integer factors of 68385 that divides 68365 without a remainder.

1, 3, 5, 15, 47, 97, 141, 235, 291, 485, 705, 1455, 4559, 13677, 22795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68365 and 68385. The biggest common factor number is the GCF number.
So the greatest common factor 68365 and 68385 is 5.

Also check out the Least Common Multiple of 68365 and 68385