What is the Greatest Common Factor of 45318 and 45333?

Greatest common factor (GCF) of 45318 and 45333 is 3.

GCF(45318,45333) = 3

We will now calculate the prime factors of 45318 and 45333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45318 and 45333.

How to find the GCF of 45318 and 45333?

We will first find the prime factorization of 45318 and 45333. After we will calculate the factors of 45318 and 45333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45333

Prime factors of 45333 are 3, 23, 73. Prime factorization of 45333 in exponential form is:

45333 = 3³ × 23¹ × 73¹

Step-3: Factors of 45318

List of positive integer factors of 45318 that divides 45318 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

Step-4: Factors of 45333

List of positive integer factors of 45333 that divides 45318 without a remainder.

1, 3, 9, 23, 27, 69, 73, 207, 219, 621, 657, 1679, 1971, 5037, 15111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45318 and 45333. The biggest common factor number is the GCF number.
So the greatest common factor 45318 and 45333 is 3.

Also check out the Least Common Multiple of 45318 and 45333