What is the Greatest Common Factor of 67784 and 67798?

Greatest common factor (GCF) of 67784 and 67798 is 2.

GCF(67784,67798) = 2

We will now calculate the prime factors of 67784 and 67798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67784 and 67798.

How to find the GCF of 67784 and 67798?

We will first find the prime factorization of 67784 and 67798. After we will calculate the factors of 67784 and 67798 and find the biggest common factor number .

Step-1: Prime Factorization of 67784

Prime factors of 67784 are 2, 37, 229. Prime factorization of 67784 in exponential form is:

67784 = 2³ × 37¹ × 229¹

Step-2: Prime Factorization of 67798

Prime factors of 67798 are 2, 109, 311. Prime factorization of 67798 in exponential form is:

67798 = 2¹ × 109¹ × 311¹

Step-3: Factors of 67784

List of positive integer factors of 67784 that divides 67784 without a remainder.

1, 2, 4, 8, 37, 74, 148, 229, 296, 458, 916, 1832, 8473, 16946, 33892

Step-4: Factors of 67798

List of positive integer factors of 67798 that divides 67784 without a remainder.

1, 2, 109, 218, 311, 622, 33899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67784 and 67798. The biggest common factor number is the GCF number.
So the greatest common factor 67784 and 67798 is 2.

Also check out the Least Common Multiple of 67784 and 67798