What is the Greatest Common Factor of 226 and 774?

Greatest common factor (GCF) of 226 and 774 is 2.

GCF(226,774) = 2

We will now calculate the prime factors of 226 and 774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 226 and 774.

How to find the GCF of 226 and 774?

We will first find the prime factorization of 226 and 774. After we will calculate the factors of 226 and 774 and find the biggest common factor number .

Step-1: Prime Factorization of 226

Prime factors of 226 are 2, 113. Prime factorization of 226 in exponential form is:

226 = 2¹ × 113¹

Step-2: Prime Factorization of 774

Prime factors of 774 are 2, 3, 43. Prime factorization of 774 in exponential form is:

774 = 2¹ × 3² × 43¹

Step-3: Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1, 2, 113

Step-4: Factors of 774

List of positive integer factors of 774 that divides 226 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 226 and 774. The biggest common factor number is the GCF number.
So the greatest common factor 226 and 774 is 2.

Also check out the Least Common Multiple of 226 and 774