What is the Greatest Common Factor of 45305 and 45318?

Greatest common factor (GCF) of 45305 and 45318 is 13.

GCF(45305,45318) = 13

We will now calculate the prime factors of 45305 and 45318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45305 and 45318.

How to find the GCF of 45305 and 45318?

We will first find the prime factorization of 45305 and 45318. After we will calculate the factors of 45305 and 45318 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 45318

Prime factors of 45318 are 2, 3, 7, 13, 83. Prime factorization of 45318 in exponential form is:

45318 = 2¹ × 3¹ × 7¹ × 13¹ × 83¹

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 45318

List of positive integer factors of 45318 that divides 45305 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 83, 91, 166, 182, 249, 273, 498, 546, 581, 1079, 1162, 1743, 2158, 3237, 3486, 6474, 7553, 15106, 22659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45305 and 45318. The biggest common factor number is the GCF number.
So the greatest common factor 45305 and 45318 is 13.

Also check out the Least Common Multiple of 45305 and 45318