What is the Greatest Common Factor of 10750 and 10765?

Greatest common factor (GCF) of 10750 and 10765 is 5.

GCF(10750,10765) = 5

We will now calculate the prime factors of 10750 and 10765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10750 and 10765.

How to find the GCF of 10750 and 10765?

We will first find the prime factorization of 10750 and 10765. After we will calculate the factors of 10750 and 10765 and find the biggest common factor number .

Step-1: Prime Factorization of 10750

Prime factors of 10750 are 2, 5, 43. Prime factorization of 10750 in exponential form is:

10750 = 2¹ × 5³ × 43¹

Step-2: Prime Factorization of 10765

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

10765 = 5¹ × 2153¹

Step-3: Factors of 10750

List of positive integer factors of 10750 that divides 10750 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 125, 215, 250, 430, 1075, 2150, 5375

Step-4: Factors of 10765

List of positive integer factors of 10765 that divides 10750 without a remainder.

1, 5, 2153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10750 and 10765. The biggest common factor number is the GCF number.
So the greatest common factor 10750 and 10765 is 5.

Also check out the Least Common Multiple of 10750 and 10765