What is the Greatest Common Factor of 45909 and 45929?

Greatest common factor (GCF) of 45909 and 45929 is 1.

GCF(45909,45929) = 1

We will now calculate the prime factors of 45909 and 45929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45909 and 45929.

How to find the GCF of 45909 and 45929?

We will first find the prime factorization of 45909 and 45929. After we will calculate the factors of 45909 and 45929 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 45929

Prime factors of 45929 are 13, 3533. Prime factorization of 45929 in exponential form is:

45929 = 13¹ × 3533¹

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 45929

List of positive integer factors of 45929 that divides 45909 without a remainder.

1, 13, 3533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45909 and 45929. The biggest common factor number is the GCF number.
So the greatest common factor 45909 and 45929 is 1.

Also check out the Least Common Multiple of 45909 and 45929