What is the Greatest Common Factor of 45347 and 45361?

Greatest common factor (GCF) of 45347 and 45361 is 1.

GCF(45347,45361) = 1

We will now calculate the prime factors of 45347 and 45361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45347 and 45361.

How to find the GCF of 45347 and 45361?

We will first find the prime factorization of 45347 and 45361. After we will calculate the factors of 45347 and 45361 and find the biggest common factor number .

Step-1: Prime Factorization of 45347

Prime factors of 45347 are 137, 331. Prime factorization of 45347 in exponential form is:

45347 = 137¹ × 331¹

Step-2: Prime Factorization of 45361

Prime factors of 45361 are 45361. Prime factorization of 45361 in exponential form is:

45361 = 45361¹

Step-3: Factors of 45347

List of positive integer factors of 45347 that divides 45347 without a remainder.

1, 137, 331

Step-4: Factors of 45361

List of positive integer factors of 45361 that divides 45347 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45347 and 45361. The biggest common factor number is the GCF number.
So the greatest common factor 45347 and 45361 is 1.

Also check out the Least Common Multiple of 45347 and 45361