What is the Greatest Common Factor of 45072 and 45084?

Greatest common factor (GCF) of 45072 and 45084 is 12.

GCF(45072,45084) = 12

We will now calculate the prime factors of 45072 and 45084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45072 and 45084.

How to find the GCF of 45072 and 45084?

We will first find the prime factorization of 45072 and 45084. After we will calculate the factors of 45072 and 45084 and find the biggest common factor number .

Step-1: Prime Factorization of 45072

Prime factors of 45072 are 2, 3, 313. Prime factorization of 45072 in exponential form is:

45072 = 2⁴ × 3² × 313¹

Step-2: 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-3: Factors of 45072

List of positive integer factors of 45072 that divides 45072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5008, 5634, 7512, 11268, 15024, 22536

Step-4: Factors of 45084

List of positive integer factors of 45084 that divides 45072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45072 and 45084. The biggest common factor number is the GCF number.
So the greatest common factor 45072 and 45084 is 12.

Also check out the Least Common Multiple of 45072 and 45084