What is the Greatest Common Factor of 90759 and 90777?

Greatest common factor (GCF) of 90759 and 90777 is 3.

GCF(90759,90777) = 3

We will now calculate the prime factors of 90759 and 90777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90759 and 90777.

How to find the GCF of 90759 and 90777?

We will first find the prime factorization of 90759 and 90777. After we will calculate the factors of 90759 and 90777 and find the biggest common factor number .

Step-1: Prime Factorization of 90759

Prime factors of 90759 are 3, 30253. Prime factorization of 90759 in exponential form is:

90759 = 3¹ × 30253¹

Step-2: Prime Factorization of 90777

Prime factors of 90777 are 3, 30259. Prime factorization of 90777 in exponential form is:

90777 = 3¹ × 30259¹

Step-3: Factors of 90759

List of positive integer factors of 90759 that divides 90759 without a remainder.

1, 3, 30253

Step-4: Factors of 90777

List of positive integer factors of 90777 that divides 90759 without a remainder.

1, 3, 30259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90759 and 90777. The biggest common factor number is the GCF number.
So the greatest common factor 90759 and 90777 is 3.

Also check out the Least Common Multiple of 90759 and 90777