What is the Greatest Common Factor of 68407 and 68413?

Greatest common factor (GCF) of 68407 and 68413 is 1.

GCF(68407,68413) = 1

We will now calculate the prime factors of 68407 and 68413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68407 and 68413.

How to find the GCF of 68407 and 68413?

We will first find the prime factorization of 68407 and 68413. After we will calculate the factors of 68407 and 68413 and find the biggest common factor number .

Step-1: Prime Factorization of 68407

Prime factors of 68407 are 67, 1021. Prime factorization of 68407 in exponential form is:

68407 = 67¹ × 1021¹

Step-2: Prime Factorization of 68413

Prime factors of 68413 are 37, 43. Prime factorization of 68413 in exponential form is:

68413 = 37¹ × 43²

Step-3: Factors of 68407

List of positive integer factors of 68407 that divides 68407 without a remainder.

1, 67, 1021

Step-4: Factors of 68413

List of positive integer factors of 68413 that divides 68407 without a remainder.

1, 37, 43, 1591, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68407 and 68413. The biggest common factor number is the GCF number.
So the greatest common factor 68407 and 68413 is 1.

Also check out the Least Common Multiple of 68407 and 68413