What is the Greatest Common Factor of 76764 and 76774?

Greatest common factor (GCF) of 76764 and 76774 is 2.

GCF(76764,76774) = 2

We will now calculate the prime factors of 76764 and 76774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76764 and 76774.

How to find the GCF of 76764 and 76774?

We will first find the prime factorization of 76764 and 76774. After we will calculate the factors of 76764 and 76774 and find the biggest common factor number .

Step-1: Prime Factorization of 76764

Prime factors of 76764 are 2, 3, 6397. Prime factorization of 76764 in exponential form is:

76764 = 2² × 3¹ × 6397¹

Step-2: Prime Factorization of 76774

Prime factors of 76774 are 2, 23, 1669. Prime factorization of 76774 in exponential form is:

76774 = 2¹ × 23¹ × 1669¹

Step-3: Factors of 76764

List of positive integer factors of 76764 that divides 76764 without a remainder.

1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382

Step-4: Factors of 76774

List of positive integer factors of 76774 that divides 76764 without a remainder.

1, 2, 23, 46, 1669, 3338, 38387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76764 and 76774. The biggest common factor number is the GCF number.
So the greatest common factor 76764 and 76774 is 2.

Also check out the Least Common Multiple of 76764 and 76774