What is the Greatest Common Factor of 67784 and 67792?

Greatest common factor (GCF) of 67784 and 67792 is 8.

GCF(67784,67792) = 8

We will now calculate the prime factors of 67784 and 67792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67784 and 67792.

How to find the GCF of 67784 and 67792?

We will first find the prime factorization of 67784 and 67792. After we will calculate the factors of 67784 and 67792 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 67792

Prime factors of 67792 are 2, 19, 223. Prime factorization of 67792 in exponential form is:

67792 = 2⁴ × 19¹ × 223¹

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 67792

List of positive integer factors of 67792 that divides 67784 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 223, 304, 446, 892, 1784, 3568, 4237, 8474, 16948, 33896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67784 and 67792. The biggest common factor number is the GCF number.
So the greatest common factor 67784 and 67792 is 8.

Also check out the Least Common Multiple of 67784 and 67792