What is the Greatest Common Factor of 45084 and 45096?

Greatest common factor (GCF) of 45084 and 45096 is 12.

GCF(45084,45096) = 12

We will now calculate the prime factors of 45084 and 45096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45096.

How to find the GCF of 45084 and 45096?

We will first find the prime factorization of 45084 and 45096. After we will calculate the factors of 45084 and 45096 and find the biggest common factor number .

Step-1: Prime Factorization of 45084

Prime factors of 45084 are 2, 3, 13, 17. Prime factorization of 45084 in exponential form is:

45084 = 2² × 3¹ × 13¹ × 17²

Step-2: Prime Factorization of 45096

Prime factors of 45096 are 2, 3, 1879. Prime factorization of 45096 in exponential form is:

45096 = 2³ × 3¹ × 1879¹

Step-3: Factors of 45084

List of positive integer factors of 45084 that divides 45084 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 289, 442, 578, 663, 867, 884, 1156, 1326, 1734, 2652, 3468, 3757, 7514, 11271, 15028, 22542

Step-4: Factors of 45096

List of positive integer factors of 45096 that divides 45084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1879, 3758, 5637, 7516, 11274, 15032, 22548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45096. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45096 is 12.

Also check out the Least Common Multiple of 45084 and 45096