What is the Greatest Common Factor of 30774 and 30794?

Greatest common factor (GCF) of 30774 and 30794 is 2.

GCF(30774,30794) = 2

We will now calculate the prime factors of 30774 and 30794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30774 and 30794.

How to find the GCF of 30774 and 30794?

We will first find the prime factorization of 30774 and 30794. After we will calculate the factors of 30774 and 30794 and find the biggest common factor number .

Step-1: Prime Factorization of 30774

Prime factors of 30774 are 2, 3, 23, 223. Prime factorization of 30774 in exponential form is:

30774 = 2¹ × 3¹ × 23¹ × 223¹

Step-2: Prime Factorization of 30794

Prime factors of 30794 are 2, 89, 173. Prime factorization of 30794 in exponential form is:

30794 = 2¹ × 89¹ × 173¹

Step-3: Factors of 30774

List of positive integer factors of 30774 that divides 30774 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 223, 446, 669, 1338, 5129, 10258, 15387

Step-4: Factors of 30794

List of positive integer factors of 30794 that divides 30774 without a remainder.

1, 2, 89, 173, 178, 346, 15397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30774 and 30794. The biggest common factor number is the GCF number.
So the greatest common factor 30774 and 30794 is 2.

Also check out the Least Common Multiple of 30774 and 30794