What is the Greatest Common Factor of 45066 and 45075?

Greatest common factor (GCF) of 45066 and 45075 is 3.

GCF(45066,45075) = 3

We will now calculate the prime factors of 45066 and 45075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45066 and 45075.

How to find the GCF of 45066 and 45075?

We will first find the prime factorization of 45066 and 45075. After we will calculate the factors of 45066 and 45075 and find the biggest common factor number .

Step-1: Prime Factorization of 45066

Prime factors of 45066 are 2, 3, 7, 29, 37. Prime factorization of 45066 in exponential form is:

45066 = 2¹ × 3¹ × 7¹ × 29¹ × 37¹

Step-2: Prime Factorization of 45075

Prime factors of 45075 are 3, 5, 601. Prime factorization of 45075 in exponential form is:

45075 = 3¹ × 5² × 601¹

Step-3: Factors of 45066

List of positive integer factors of 45066 that divides 45066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 37, 42, 58, 74, 87, 111, 174, 203, 222, 259, 406, 518, 609, 777, 1073, 1218, 1554, 2146, 3219, 6438, 7511, 15022, 22533

Step-4: Factors of 45075

List of positive integer factors of 45075 that divides 45066 without a remainder.

1, 3, 5, 15, 25, 75, 601, 1803, 3005, 9015, 15025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45066 and 45075. The biggest common factor number is the GCF number.
So the greatest common factor 45066 and 45075 is 3.

Also check out the Least Common Multiple of 45066 and 45075