What is the Greatest Common Factor of 45909 and 45927?

Greatest common factor (GCF) of 45909 and 45927 is 9.

GCF(45909,45927) = 9

We will now calculate the prime factors of 45909 and 45927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45909 and 45927.

How to find the GCF of 45909 and 45927?

We will first find the prime factorization of 45909 and 45927. After we will calculate the factors of 45909 and 45927 and find the biggest common factor number .

Step-1: Prime Factorization of 45909

Prime factors of 45909 are 3, 5101. Prime factorization of 45909 in exponential form is:

45909 = 3² × 5101¹

Step-2: Prime Factorization of 45927

Prime factors of 45927 are 3, 7. Prime factorization of 45927 in exponential form is:

45927 = 3⁸ × 7¹

Step-3: Factors of 45909

List of positive integer factors of 45909 that divides 45909 without a remainder.

1, 3, 9, 5101, 15303

Step-4: Factors of 45927

List of positive integer factors of 45927 that divides 45909 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 2187, 5103, 6561, 15309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45909 and 45927. The biggest common factor number is the GCF number.
So the greatest common factor 45909 and 45927 is 9.

Also check out the Least Common Multiple of 45909 and 45927