What is the Greatest Common Factor of 10774 and 10793?

Greatest common factor (GCF) of 10774 and 10793 is 1.

GCF(10774,10793) = 1

We will now calculate the prime factors of 10774 and 10793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10774 and 10793.

How to find the GCF of 10774 and 10793?

We will first find the prime factorization of 10774 and 10793. After we will calculate the factors of 10774 and 10793 and find the biggest common factor number .

Step-1: Prime Factorization of 10774

Prime factors of 10774 are 2, 5387. Prime factorization of 10774 in exponential form is:

10774 = 2¹ × 5387¹

Step-2: Prime Factorization of 10793

Prime factors of 10793 are 43, 251. Prime factorization of 10793 in exponential form is:

10793 = 43¹ × 251¹

Step-3: Factors of 10774

List of positive integer factors of 10774 that divides 10774 without a remainder.

1, 2, 5387

Step-4: Factors of 10793

List of positive integer factors of 10793 that divides 10774 without a remainder.

1, 43, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10774 and 10793. The biggest common factor number is the GCF number.
So the greatest common factor 10774 and 10793 is 1.

Also check out the Least Common Multiple of 10774 and 10793