What is the Greatest Common Factor of 45339 and 45343?

Greatest common factor (GCF) of 45339 and 45343 is 1.

GCF(45339,45343) = 1

We will now calculate the prime factors of 45339 and 45343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45339 and 45343.

How to find the GCF of 45339 and 45343?

We will first find the prime factorization of 45339 and 45343. After we will calculate the factors of 45339 and 45343 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 45343

Prime factors of 45343 are 45343. Prime factorization of 45343 in exponential form is:

45343 = 45343¹

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 45343

List of positive integer factors of 45343 that divides 45339 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45339 and 45343. The biggest common factor number is the GCF number.
So the greatest common factor 45339 and 45343 is 1.

Also check out the Least Common Multiple of 45339 and 45343