What is the Greatest Common Factor of 68325 and 68336?

Greatest common factor (GCF) of 68325 and 68336 is 1.

GCF(68325,68336) = 1

We will now calculate the prime factors of 68325 and 68336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68325 and 68336.

How to find the GCF of 68325 and 68336?

We will first find the prime factorization of 68325 and 68336. After we will calculate the factors of 68325 and 68336 and find the biggest common factor number .

Step-1: Prime Factorization of 68325

Prime factors of 68325 are 3, 5, 911. Prime factorization of 68325 in exponential form is:

68325 = 3¹ × 5² × 911¹

Step-2: Prime Factorization of 68336

Prime factors of 68336 are 2, 4271. Prime factorization of 68336 in exponential form is:

68336 = 2⁴ × 4271¹

Step-3: Factors of 68325

List of positive integer factors of 68325 that divides 68325 without a remainder.

1, 3, 5, 15, 25, 75, 911, 2733, 4555, 13665, 22775

Step-4: Factors of 68336

List of positive integer factors of 68336 that divides 68325 without a remainder.

1, 2, 4, 8, 16, 4271, 8542, 17084, 34168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68325 and 68336. The biggest common factor number is the GCF number.
So the greatest common factor 68325 and 68336 is 1.

Also check out the Least Common Multiple of 68325 and 68336