What is the Greatest Common Factor of 67393 and 67412?

Greatest common factor (GCF) of 67393 and 67412 is 19.

GCF(67393,67412) = 19

We will now calculate the prime factors of 67393 and 67412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67393 and 67412.

How to find the GCF of 67393 and 67412?

We will first find the prime factorization of 67393 and 67412. After we will calculate the factors of 67393 and 67412 and find the biggest common factor number .

Step-1: Prime Factorization of 67393

Prime factors of 67393 are 19, 3547. Prime factorization of 67393 in exponential form is:

67393 = 19¹ × 3547¹

Step-2: Prime Factorization of 67412

Prime factors of 67412 are 2, 19, 887. Prime factorization of 67412 in exponential form is:

67412 = 2² × 19¹ × 887¹

Step-3: Factors of 67393

List of positive integer factors of 67393 that divides 67393 without a remainder.

1, 19, 3547

Step-4: Factors of 67412

List of positive integer factors of 67412 that divides 67393 without a remainder.

1, 2, 4, 19, 38, 76, 887, 1774, 3548, 16853, 33706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67393 and 67412. The biggest common factor number is the GCF number.
So the greatest common factor 67393 and 67412 is 19.

Also check out the Least Common Multiple of 67393 and 67412