What is the Greatest Common Factor of 67408 and 67427?

Greatest common factor (GCF) of 67408 and 67427 is 1.

GCF(67408,67427) = 1

We will now calculate the prime factors of 67408 and 67427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67408 and 67427.

How to find the GCF of 67408 and 67427?

We will first find the prime factorization of 67408 and 67427. After we will calculate the factors of 67408 and 67427 and find the biggest common factor number .

Step-1: Prime Factorization of 67408

Prime factors of 67408 are 2, 11, 383. Prime factorization of 67408 in exponential form is:

67408 = 2⁴ × 11¹ × 383¹

Step-2: Prime Factorization of 67427

Prime factors of 67427 are 67427. Prime factorization of 67427 in exponential form is:

67427 = 67427¹

Step-3: Factors of 67408

List of positive integer factors of 67408 that divides 67408 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 383, 766, 1532, 3064, 4213, 6128, 8426, 16852, 33704

Step-4: Factors of 67427

List of positive integer factors of 67427 that divides 67408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67408 and 67427. The biggest common factor number is the GCF number.
So the greatest common factor 67408 and 67427 is 1.

Also check out the Least Common Multiple of 67408 and 67427