What is the Greatest Common Factor of 67776 and 67784?

Greatest common factor (GCF) of 67776 and 67784 is 8.

GCF(67776,67784) = 8

We will now calculate the prime factors of 67776 and 67784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67776 and 67784.

How to find the GCF of 67776 and 67784?

We will first find the prime factorization of 67776 and 67784. After we will calculate the factors of 67776 and 67784 and find the biggest common factor number .

Step-1: Prime Factorization of 67776

Prime factors of 67776 are 2, 3, 353. Prime factorization of 67776 in exponential form is:

67776 = 2⁶ × 3¹ × 353¹

Step-2: 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-3: Factors of 67776

List of positive integer factors of 67776 that divides 67776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944, 22592, 33888

Step-4: Factors of 67784

List of positive integer factors of 67784 that divides 67776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67776 and 67784. The biggest common factor number is the GCF number.
So the greatest common factor 67776 and 67784 is 8.

Also check out the Least Common Multiple of 67776 and 67784