What is the Greatest Common Factor of 67776 and 67789?

Greatest common factor (GCF) of 67776 and 67789 is 1.

GCF(67776,67789) = 1

We will now calculate the prime factors of 67776 and 67789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67776 and 67789.

How to find the GCF of 67776 and 67789?

We will first find the prime factorization of 67776 and 67789. After we will calculate the factors of 67776 and 67789 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 67789

Prime factors of 67789 are 67789. Prime factorization of 67789 in exponential form is:

67789 = 67789¹

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 67789

List of positive integer factors of 67789 that divides 67776 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67776 and 67789. The biggest common factor number is the GCF number.
So the greatest common factor 67776 and 67789 is 1.

Also check out the Least Common Multiple of 67776 and 67789