What is the Greatest Common Factor of 68782 and 68794?

Greatest common factor (GCF) of 68782 and 68794 is 2.

GCF(68782,68794) = 2

We will now calculate the prime factors of 68782 and 68794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68782 and 68794.

How to find the GCF of 68782 and 68794?

We will first find the prime factorization of 68782 and 68794. After we will calculate the factors of 68782 and 68794 and find the biggest common factor number .

Step-1: Prime Factorization of 68782

Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:

68782 = 2¹ × 7¹ × 17³

Step-2: Prime Factorization of 68794

Prime factors of 68794 are 2, 11, 53, 59. Prime factorization of 68794 in exponential form is:

68794 = 2¹ × 11¹ × 53¹ × 59¹

Step-3: Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391

Step-4: Factors of 68794

List of positive integer factors of 68794 that divides 68782 without a remainder.

1, 2, 11, 22, 53, 59, 106, 118, 583, 649, 1166, 1298, 3127, 6254, 34397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68782 and 68794. The biggest common factor number is the GCF number.
So the greatest common factor 68782 and 68794 is 2.

Also check out the Least Common Multiple of 68782 and 68794