What is the Greatest Common Factor of 75765 and 75775?

Greatest common factor (GCF) of 75765 and 75775 is 5.

GCF(75765,75775) = 5

We will now calculate the prime factors of 75765 and 75775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75765 and 75775.

How to find the GCF of 75765 and 75775?

We will first find the prime factorization of 75765 and 75775. After we will calculate the factors of 75765 and 75775 and find the biggest common factor number .

Step-1: Prime Factorization of 75765

Prime factors of 75765 are 3, 5, 5051. Prime factorization of 75765 in exponential form is:

75765 = 3¹ × 5¹ × 5051¹

Step-2: Prime Factorization of 75775

Prime factors of 75775 are 5, 7, 433. Prime factorization of 75775 in exponential form is:

75775 = 5² × 7¹ × 433¹

Step-3: Factors of 75765

List of positive integer factors of 75765 that divides 75765 without a remainder.

1, 3, 5, 15, 5051, 15153, 25255

Step-4: Factors of 75775

List of positive integer factors of 75775 that divides 75765 without a remainder.

1, 5, 7, 25, 35, 175, 433, 2165, 3031, 10825, 15155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75765 and 75775. The biggest common factor number is the GCF number.
So the greatest common factor 75765 and 75775 is 5.

Also check out the Least Common Multiple of 75765 and 75775