What is the Greatest Common Factor of 75769 and 75775?

Greatest common factor (GCF) of 75769 and 75775 is 1.

GCF(75769,75775) = 1

We will now calculate the prime factors of 75769 and 75775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75769 and 75775.

How to find the GCF of 75769 and 75775?

We will first find the prime factorization of 75769 and 75775. After we will calculate the factors of 75769 and 75775 and find the biggest common factor number .

Step-1: Prime Factorization of 75769

Prime factors of 75769 are 17, 4457. Prime factorization of 75769 in exponential form is:

75769 = 17¹ × 4457¹

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 75769

List of positive integer factors of 75769 that divides 75769 without a remainder.

1, 17, 4457

Step-4: Factors of 75775

List of positive integer factors of 75775 that divides 75769 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 75769 and 75775. The biggest common factor number is the GCF number.
So the greatest common factor 75769 and 75775 is 1.

Also check out the Least Common Multiple of 75769 and 75775