What is the Greatest Common Factor of 45304 and 45318?

Greatest common factor (GCF) of 45304 and 45318 is 14.

GCF(45304,45318) = 14

We will now calculate the prime factors of 45304 and 45318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45304 and 45318.

How to find the GCF of 45304 and 45318?

We will first find the prime factorization of 45304 and 45318. After we will calculate the factors of 45304 and 45318 and find the biggest common factor number .

Step-1: Prime Factorization of 45304

Prime factors of 45304 are 2, 7, 809. Prime factorization of 45304 in exponential form is:

45304 = 2³ × 7¹ × 809¹

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 45304

List of positive integer factors of 45304 that divides 45304 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 809, 1618, 3236, 5663, 6472, 11326, 22652

Step-4: Factors of 45318

List of positive integer factors of 45318 that divides 45304 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 45304 and 45318. The biggest common factor number is the GCF number.
So the greatest common factor 45304 and 45318 is 14.

Also check out the Least Common Multiple of 45304 and 45318