What is the Greatest Common Factor of 45310 and 45323?

Greatest common factor (GCF) of 45310 and 45323 is 1.

GCF(45310,45323) = 1

We will now calculate the prime factors of 45310 and 45323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45310 and 45323.

How to find the GCF of 45310 and 45323?

We will first find the prime factorization of 45310 and 45323. After we will calculate the factors of 45310 and 45323 and find the biggest common factor number .

Step-1: Prime Factorization of 45310

Prime factors of 45310 are 2, 5, 23, 197. Prime factorization of 45310 in exponential form is:

45310 = 2¹ × 5¹ × 23¹ × 197¹

Step-2: Prime Factorization of 45323

Prime factors of 45323 are 61, 743. Prime factorization of 45323 in exponential form is:

45323 = 61¹ × 743¹

Step-3: Factors of 45310

List of positive integer factors of 45310 that divides 45310 without a remainder.

1, 2, 5, 10, 23, 46, 115, 197, 230, 394, 985, 1970, 4531, 9062, 22655

Step-4: Factors of 45323

List of positive integer factors of 45323 that divides 45310 without a remainder.

1, 61, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45310 and 45323. The biggest common factor number is the GCF number.
So the greatest common factor 45310 and 45323 is 1.

Also check out the Least Common Multiple of 45310 and 45323