What is the Greatest Common Factor of 10766 and 10773?

Greatest common factor (GCF) of 10766 and 10773 is 7.

GCF(10766,10773) = 7

We will now calculate the prime factors of 10766 and 10773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10766 and 10773.

How to find the GCF of 10766 and 10773?

We will first find the prime factorization of 10766 and 10773. After we will calculate the factors of 10766 and 10773 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 10773

Prime factors of 10773 are 3, 7, 19. Prime factorization of 10773 in exponential form is:

10773 = 3⁴ × 7¹ × 19¹

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 10773

List of positive integer factors of 10773 that divides 10766 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 399, 513, 567, 1197, 1539, 3591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10766 and 10773. The biggest common factor number is the GCF number.
So the greatest common factor 10766 and 10773 is 7.

Also check out the Least Common Multiple of 10766 and 10773