What is the Greatest Common Factor of 45060 and 45072?

Greatest common factor (GCF) of 45060 and 45072 is 12.

GCF(45060,45072) = 12

We will now calculate the prime factors of 45060 and 45072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45060 and 45072.

How to find the GCF of 45060 and 45072?

We will first find the prime factorization of 45060 and 45072. After we will calculate the factors of 45060 and 45072 and find the biggest common factor number .

Step-1: Prime Factorization of 45060

Prime factors of 45060 are 2, 3, 5, 751. Prime factorization of 45060 in exponential form is:

45060 = 2² × 3¹ × 5¹ × 751¹

Step-2: 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-3: Factors of 45060

List of positive integer factors of 45060 that divides 45060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 751, 1502, 2253, 3004, 3755, 4506, 7510, 9012, 11265, 15020, 22530

Step-4: Factors of 45072

List of positive integer factors of 45072 that divides 45060 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45060 and 45072. The biggest common factor number is the GCF number.
So the greatest common factor 45060 and 45072 is 12.

Also check out the Least Common Multiple of 45060 and 45072