What is the Greatest Common Factor of 10769 and 10788?

Greatest common factor (GCF) of 10769 and 10788 is 1.

GCF(10769,10788) = 1

We will now calculate the prime factors of 10769 and 10788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10769 and 10788.

How to find the GCF of 10769 and 10788?

We will first find the prime factorization of 10769 and 10788. After we will calculate the factors of 10769 and 10788 and find the biggest common factor number .

Step-1: Prime Factorization of 10769

Prime factors of 10769 are 11, 89. Prime factorization of 10769 in exponential form is:

10769 = 11² × 89¹

Step-2: Prime Factorization of 10788

Prime factors of 10788 are 2, 3, 29, 31. Prime factorization of 10788 in exponential form is:

10788 = 2² × 3¹ × 29¹ × 31¹

Step-3: Factors of 10769

List of positive integer factors of 10769 that divides 10769 without a remainder.

1, 11, 89, 121, 979

Step-4: Factors of 10788

List of positive integer factors of 10788 that divides 10769 without a remainder.

1, 2, 3, 4, 6, 12, 29, 31, 58, 62, 87, 93, 116, 124, 174, 186, 348, 372, 899, 1798, 2697, 3596, 5394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10769 and 10788. The biggest common factor number is the GCF number.
So the greatest common factor 10769 and 10788 is 1.

Also check out the Least Common Multiple of 10769 and 10788