What is the Greatest Common Factor of 10765 and 10775?

Greatest common factor (GCF) of 10765 and 10775 is 5.

GCF(10765,10775) = 5

We will now calculate the prime factors of 10765 and 10775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10765 and 10775.

How to find the GCF of 10765 and 10775?

We will first find the prime factorization of 10765 and 10775. After we will calculate the factors of 10765 and 10775 and find the biggest common factor number .

Step-1: Prime Factorization of 10765

Prime factors of 10765 are 5, 2153. Prime factorization of 10765 in exponential form is:

10765 = 5¹ × 2153¹

Step-2: Prime Factorization of 10775

Prime factors of 10775 are 5, 431. Prime factorization of 10775 in exponential form is:

10775 = 5² × 431¹

Step-3: Factors of 10765

List of positive integer factors of 10765 that divides 10765 without a remainder.

1, 5, 2153

Step-4: Factors of 10775

List of positive integer factors of 10775 that divides 10765 without a remainder.

1, 5, 25, 431, 2155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10765 and 10775. The biggest common factor number is the GCF number.
So the greatest common factor 10765 and 10775 is 5.

Also check out the Least Common Multiple of 10765 and 10775