What is the Greatest Common Factor of 67407 and 67417?

Greatest common factor (GCF) of 67407 and 67417 is 1.

GCF(67407,67417) = 1

We will now calculate the prime factors of 67407 and 67417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67407 and 67417.

How to find the GCF of 67407 and 67417?

We will first find the prime factorization of 67407 and 67417. After we will calculate the factors of 67407 and 67417 and find the biggest common factor number .

Step-1: Prime Factorization of 67407

Prime factors of 67407 are 3, 22469. Prime factorization of 67407 in exponential form is:

67407 = 3¹ × 22469¹

Step-2: Prime Factorization of 67417

Prime factors of 67417 are 7, 9631. Prime factorization of 67417 in exponential form is:

67417 = 7¹ × 9631¹

Step-3: Factors of 67407

List of positive integer factors of 67407 that divides 67407 without a remainder.

1, 3, 22469

Step-4: Factors of 67417

List of positive integer factors of 67417 that divides 67407 without a remainder.

1, 7, 9631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67407 and 67417. The biggest common factor number is the GCF number.
So the greatest common factor 67407 and 67417 is 1.

Also check out the Least Common Multiple of 67407 and 67417