What is the Greatest Common Factor of 67328 and 67336?

Greatest common factor (GCF) of 67328 and 67336 is 8.

GCF(67328,67336) = 8

We will now calculate the prime factors of 67328 and 67336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67328 and 67336.

How to find the GCF of 67328 and 67336?

We will first find the prime factorization of 67328 and 67336. After we will calculate the factors of 67328 and 67336 and find the biggest common factor number .

Step-1: Prime Factorization of 67328

Prime factors of 67328 are 2, 263. Prime factorization of 67328 in exponential form is:

67328 = 2⁸ × 263¹

Step-2: Prime Factorization of 67336

Prime factors of 67336 are 2, 19, 443. Prime factorization of 67336 in exponential form is:

67336 = 2³ × 19¹ × 443¹

Step-3: Factors of 67328

List of positive integer factors of 67328 that divides 67328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 263, 526, 1052, 2104, 4208, 8416, 16832, 33664

Step-4: Factors of 67336

List of positive integer factors of 67336 that divides 67328 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 443, 886, 1772, 3544, 8417, 16834, 33668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67328 and 67336. The biggest common factor number is the GCF number.
So the greatest common factor 67328 and 67336 is 8.

Also check out the Least Common Multiple of 67328 and 67336