What is the Greatest Common Factor of 45040 and 45060?

Greatest common factor (GCF) of 45040 and 45060 is 20.

GCF(45040,45060) = 20

We will now calculate the prime factors of 45040 and 45060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45040 and 45060.

How to find the GCF of 45040 and 45060?

We will first find the prime factorization of 45040 and 45060. After we will calculate the factors of 45040 and 45060 and find the biggest common factor number .

Step-1: Prime Factorization of 45040

Prime factors of 45040 are 2, 5, 563. Prime factorization of 45040 in exponential form is:

45040 = 2⁴ × 5¹ × 563¹

Step-2: 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-3: Factors of 45040

List of positive integer factors of 45040 that divides 45040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 22520

Step-4: Factors of 45060

List of positive integer factors of 45060 that divides 45040 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45040 and 45060. The biggest common factor number is the GCF number.
So the greatest common factor 45040 and 45060 is 20.

Also check out the Least Common Multiple of 45040 and 45060