What is the Greatest Common Factor of 67336 and 67354?

Greatest common factor (GCF) of 67336 and 67354 is 2.

GCF(67336,67354) = 2

We will now calculate the prime factors of 67336 and 67354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67336 and 67354.

How to find the GCF of 67336 and 67354?

We will first find the prime factorization of 67336 and 67354. After we will calculate the factors of 67336 and 67354 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 67354

Prime factors of 67354 are 2, 7, 17, 283. Prime factorization of 67354 in exponential form is:

67354 = 2¹ × 7¹ × 17¹ × 283¹

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 67354

List of positive integer factors of 67354 that divides 67336 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 283, 566, 1981, 3962, 4811, 9622, 33677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67336 and 67354. The biggest common factor number is the GCF number.
So the greatest common factor 67336 and 67354 is 2.

Also check out the Least Common Multiple of 67336 and 67354