What is the Greatest Common Factor of 67336 and 67356?

Greatest common factor (GCF) of 67336 and 67356 is 4.

GCF(67336,67356) = 4

We will now calculate the prime factors of 67336 and 67356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67336 and 67356.

How to find the GCF of 67336 and 67356?

We will first find the prime factorization of 67336 and 67356. After we will calculate the factors of 67336 and 67356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67356

Prime factors of 67356 are 2, 3, 1871. Prime factorization of 67356 in exponential form is:

67356 = 2² × 3² × 1871¹

Step-3: Factors of 67336

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

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

Step-4: Factors of 67356

List of positive integer factors of 67356 that divides 67336 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1871, 3742, 5613, 7484, 11226, 16839, 22452, 33678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67336 and 67356. The biggest common factor number is the GCF number.
So the greatest common factor 67336 and 67356 is 4.

Also check out the Least Common Multiple of 67336 and 67356