What is the Greatest Common Factor of 45339 and 45345?

Greatest common factor (GCF) of 45339 and 45345 is 3.

GCF(45339,45345) = 3

We will now calculate the prime factors of 45339 and 45345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45339 and 45345.

How to find the GCF of 45339 and 45345?

We will first find the prime factorization of 45339 and 45345. After we will calculate the factors of 45339 and 45345 and find the biggest common factor number .

Step-1: Prime Factorization of 45339

Prime factors of 45339 are 3, 7, 17, 127. Prime factorization of 45339 in exponential form is:

45339 = 3¹ × 7¹ × 17¹ × 127¹

Step-2: Prime Factorization of 45345

Prime factors of 45345 are 3, 5, 3023. Prime factorization of 45345 in exponential form is:

45345 = 3¹ × 5¹ × 3023¹

Step-3: Factors of 45339

List of positive integer factors of 45339 that divides 45339 without a remainder.

1, 3, 7, 17, 21, 51, 119, 127, 357, 381, 889, 2159, 2667, 6477, 15113

Step-4: Factors of 45345

List of positive integer factors of 45345 that divides 45339 without a remainder.

1, 3, 5, 15, 3023, 9069, 15115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45339 and 45345. The biggest common factor number is the GCF number.
So the greatest common factor 45339 and 45345 is 3.

Also check out the Least Common Multiple of 45339 and 45345