What is the Greatest Common Factor of 10765 and 10785?

Greatest common factor (GCF) of 10765 and 10785 is 5.

GCF(10765,10785) = 5

We will now calculate the prime factors of 10765 and 10785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10765 and 10785.

How to find the GCF of 10765 and 10785?

We will first find the prime factorization of 10765 and 10785. After we will calculate the factors of 10765 and 10785 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 10785

Prime factors of 10785 are 3, 5, 719. Prime factorization of 10785 in exponential form is:

10785 = 3¹ × 5¹ × 719¹

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 10785

List of positive integer factors of 10785 that divides 10765 without a remainder.

1, 3, 5, 15, 719, 2157, 3595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10765 and 10785. The biggest common factor number is the GCF number.
So the greatest common factor 10765 and 10785 is 5.

Also check out the Least Common Multiple of 10765 and 10785