What is the Greatest Common Factor of 45305 and 45310?

Greatest common factor (GCF) of 45305 and 45310 is 5.

GCF(45305,45310) = 5

We will now calculate the prime factors of 45305 and 45310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45305 and 45310.

How to find the GCF of 45305 and 45310?

We will first find the prime factorization of 45305 and 45310. After we will calculate the factors of 45305 and 45310 and find the biggest common factor number .

Step-1: Prime Factorization of 45305

Prime factors of 45305 are 5, 13, 17, 41. Prime factorization of 45305 in exponential form is:

45305 = 5¹ × 13¹ × 17¹ × 41¹

Step-2: 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-3: Factors of 45305

List of positive integer factors of 45305 that divides 45305 without a remainder.

1, 5, 13, 17, 41, 65, 85, 205, 221, 533, 697, 1105, 2665, 3485, 9061

Step-4: Factors of 45310

List of positive integer factors of 45310 that divides 45305 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45305 and 45310. The biggest common factor number is the GCF number.
So the greatest common factor 45305 and 45310 is 5.

Also check out the Least Common Multiple of 45305 and 45310