What is the Greatest Common Factor of 45774 and 45789?

Greatest common factor (GCF) of 45774 and 45789 is 3.

GCF(45774,45789) = 3

We will now calculate the prime factors of 45774 and 45789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45774 and 45789.

How to find the GCF of 45774 and 45789?

We will first find the prime factorization of 45774 and 45789. After we will calculate the factors of 45774 and 45789 and find the biggest common factor number .

Step-1: Prime Factorization of 45774

Prime factors of 45774 are 2, 3, 2543. Prime factorization of 45774 in exponential form is:

45774 = 2¹ × 3² × 2543¹

Step-2: Prime Factorization of 45789

Prime factors of 45789 are 3, 15263. Prime factorization of 45789 in exponential form is:

45789 = 3¹ × 15263¹

Step-3: Factors of 45774

List of positive integer factors of 45774 that divides 45774 without a remainder.

1, 2, 3, 6, 9, 18, 2543, 5086, 7629, 15258, 22887

Step-4: Factors of 45789

List of positive integer factors of 45789 that divides 45774 without a remainder.

1, 3, 15263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45774 and 45789. The biggest common factor number is the GCF number.
So the greatest common factor 45774 and 45789 is 3.

Also check out the Least Common Multiple of 45774 and 45789