What is the Greatest Common Factor of 45777 and 45783?

Greatest common factor (GCF) of 45777 and 45783 is 3.

GCF(45777,45783) = 3

We will now calculate the prime factors of 45777 and 45783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45777 and 45783.

How to find the GCF of 45777 and 45783?

We will first find the prime factorization of 45777 and 45783. After we will calculate the factors of 45777 and 45783 and find the biggest common factor number .

Step-1: Prime Factorization of 45777

Prime factors of 45777 are 3, 15259. Prime factorization of 45777 in exponential form is:

45777 = 3¹ × 15259¹

Step-2: Prime Factorization of 45783

Prime factors of 45783 are 3, 5087. Prime factorization of 45783 in exponential form is:

45783 = 3² × 5087¹

Step-3: Factors of 45777

List of positive integer factors of 45777 that divides 45777 without a remainder.

1, 3, 15259

Step-4: Factors of 45783

List of positive integer factors of 45783 that divides 45777 without a remainder.

1, 3, 9, 5087, 15261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45777 and 45783. The biggest common factor number is the GCF number.
So the greatest common factor 45777 and 45783 is 3.

Also check out the Least Common Multiple of 45777 and 45783