What is the Greatest Common Factor of 67776 and 67794?

Greatest common factor (GCF) of 67776 and 67794 is 6.

GCF(67776,67794) = 6

We will now calculate the prime factors of 67776 and 67794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67776 and 67794.

How to find the GCF of 67776 and 67794?

We will first find the prime factorization of 67776 and 67794. After we will calculate the factors of 67776 and 67794 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 67794

Prime factors of 67794 are 2, 3, 11299. Prime factorization of 67794 in exponential form is:

67794 = 2¹ × 3¹ × 11299¹

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 67794

List of positive integer factors of 67794 that divides 67776 without a remainder.

1, 2, 3, 6, 11299, 22598, 33897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67776 and 67794. The biggest common factor number is the GCF number.
So the greatest common factor 67776 and 67794 is 6.

Also check out the Least Common Multiple of 67776 and 67794