What is the Greatest Common Factor of 30774 and 30781?

Greatest common factor (GCF) of 30774 and 30781 is 1.

GCF(30774,30781) = 1

We will now calculate the prime factors of 30774 and 30781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30774 and 30781.

How to find the GCF of 30774 and 30781?

We will first find the prime factorization of 30774 and 30781. After we will calculate the factors of 30774 and 30781 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 30781

Prime factors of 30781 are 30781. Prime factorization of 30781 in exponential form is:

30781 = 30781¹

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 30781

List of positive integer factors of 30781 that divides 30774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30774 and 30781. The biggest common factor number is the GCF number.
So the greatest common factor 30774 and 30781 is 1.

Also check out the Least Common Multiple of 30774 and 30781