What is the Greatest Common Factor of 76782 and 76794?

Greatest common factor (GCF) of 76782 and 76794 is 6.

GCF(76782,76794) = 6

We will now calculate the prime factors of 76782 and 76794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76782 and 76794.

How to find the GCF of 76782 and 76794?

We will first find the prime factorization of 76782 and 76794. After we will calculate the factors of 76782 and 76794 and find the biggest common factor number .

Step-1: Prime Factorization of 76782

Prime factors of 76782 are 2, 3, 67, 191. Prime factorization of 76782 in exponential form is:

76782 = 2¹ × 3¹ × 67¹ × 191¹

Step-2: Prime Factorization of 76794

Prime factors of 76794 are 2, 3, 12799. Prime factorization of 76794 in exponential form is:

76794 = 2¹ × 3¹ × 12799¹

Step-3: Factors of 76782

List of positive integer factors of 76782 that divides 76782 without a remainder.

1, 2, 3, 6, 67, 134, 191, 201, 382, 402, 573, 1146, 12797, 25594, 38391

Step-4: Factors of 76794

List of positive integer factors of 76794 that divides 76782 without a remainder.

1, 2, 3, 6, 12799, 25598, 38397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76782 and 76794. The biggest common factor number is the GCF number.
So the greatest common factor 76782 and 76794 is 6.

Also check out the Least Common Multiple of 76782 and 76794