What is the Greatest Common Factor of 67408 and 67418?

Greatest common factor (GCF) of 67408 and 67418 is 2.

GCF(67408,67418) = 2

We will now calculate the prime factors of 67408 and 67418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67408 and 67418.

How to find the GCF of 67408 and 67418?

We will first find the prime factorization of 67408 and 67418. After we will calculate the factors of 67408 and 67418 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 67418

Prime factors of 67418 are 2, 13, 2593. Prime factorization of 67418 in exponential form is:

67418 = 2¹ × 13¹ × 2593¹

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 67418

List of positive integer factors of 67418 that divides 67408 without a remainder.

1, 2, 13, 26, 2593, 5186, 33709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67408 and 67418. The biggest common factor number is the GCF number.
So the greatest common factor 67408 and 67418 is 2.

Also check out the Least Common Multiple of 67408 and 67418