What is the Greatest Common Factor of 45909 and 45921?

Greatest common factor (GCF) of 45909 and 45921 is 3.

GCF(45909,45921) = 3

We will now calculate the prime factors of 45909 and 45921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45909 and 45921.

How to find the GCF of 45909 and 45921?

We will first find the prime factorization of 45909 and 45921. After we will calculate the factors of 45909 and 45921 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 45921

Prime factors of 45921 are 3, 15307. Prime factorization of 45921 in exponential form is:

45921 = 3¹ × 15307¹

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 45921

List of positive integer factors of 45921 that divides 45909 without a remainder.

1, 3, 15307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45909 and 45921. The biggest common factor number is the GCF number.
So the greatest common factor 45909 and 45921 is 3.

Also check out the Least Common Multiple of 45909 and 45921