What is the Greatest Common Factor of 10766 and 10781?

Greatest common factor (GCF) of 10766 and 10781 is 1.

GCF(10766,10781) = 1

We will now calculate the prime factors of 10766 and 10781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10766 and 10781.

How to find the GCF of 10766 and 10781?

We will first find the prime factorization of 10766 and 10781. After we will calculate the factors of 10766 and 10781 and find the biggest common factor number .

Step-1: Prime Factorization of 10766

Prime factors of 10766 are 2, 7, 769. Prime factorization of 10766 in exponential form is:

10766 = 2¹ × 7¹ × 769¹

Step-2: Prime Factorization of 10781

Prime factors of 10781 are 10781. Prime factorization of 10781 in exponential form is:

10781 = 10781¹

Step-3: Factors of 10766

List of positive integer factors of 10766 that divides 10766 without a remainder.

1, 2, 7, 14, 769, 1538, 5383

Step-4: Factors of 10781

List of positive integer factors of 10781 that divides 10766 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10766 and 10781. The biggest common factor number is the GCF number.
So the greatest common factor 10766 and 10781 is 1.

Also check out the Least Common Multiple of 10766 and 10781