What is the Greatest Common Factor of 67782 and 67793?

Greatest common factor (GCF) of 67782 and 67793 is 11.

GCF(67782,67793) = 11

We will now calculate the prime factors of 67782 and 67793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67782 and 67793.

How to find the GCF of 67782 and 67793?

We will first find the prime factorization of 67782 and 67793. After we will calculate the factors of 67782 and 67793 and find the biggest common factor number .

Step-1: Prime Factorization of 67782

Prime factors of 67782 are 2, 3, 11, 13, 79. Prime factorization of 67782 in exponential form is:

67782 = 2¹ × 3¹ × 11¹ × 13¹ × 79¹

Step-2: Prime Factorization of 67793

Prime factors of 67793 are 11, 6163. Prime factorization of 67793 in exponential form is:

67793 = 11¹ × 6163¹

Step-3: Factors of 67782

List of positive integer factors of 67782 that divides 67782 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 79, 143, 158, 237, 286, 429, 474, 858, 869, 1027, 1738, 2054, 2607, 3081, 5214, 6162, 11297, 22594, 33891

Step-4: Factors of 67793

List of positive integer factors of 67793 that divides 67782 without a remainder.

1, 11, 6163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67782 and 67793. The biggest common factor number is the GCF number.
So the greatest common factor 67782 and 67793 is 11.

Also check out the Least Common Multiple of 67782 and 67793