What is the Greatest Common Factor of 68415 and 68433?

Greatest common factor (GCF) of 68415 and 68433 is 3.

GCF(68415,68433) = 3

We will now calculate the prime factors of 68415 and 68433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68415 and 68433.

How to find the GCF of 68415 and 68433?

We will first find the prime factorization of 68415 and 68433. After we will calculate the factors of 68415 and 68433 and find the biggest common factor number .

Step-1: Prime Factorization of 68415

Prime factors of 68415 are 3, 5, 4561. Prime factorization of 68415 in exponential form is:

68415 = 3¹ × 5¹ × 4561¹

Step-2: Prime Factorization of 68433

Prime factors of 68433 are 3, 22811. Prime factorization of 68433 in exponential form is:

68433 = 3¹ × 22811¹

Step-3: Factors of 68415

List of positive integer factors of 68415 that divides 68415 without a remainder.

1, 3, 5, 15, 4561, 13683, 22805

Step-4: Factors of 68433

List of positive integer factors of 68433 that divides 68415 without a remainder.

1, 3, 22811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68415 and 68433. The biggest common factor number is the GCF number.
So the greatest common factor 68415 and 68433 is 3.

Also check out the Least Common Multiple of 68415 and 68433