What is the Greatest Common Factor of 51075 and 51090?

Greatest common factor (GCF) of 51075 and 51090 is 15.

GCF(51075,51090) = 15

We will now calculate the prime factors of 51075 and 51090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51075 and 51090.

How to find the GCF of 51075 and 51090?

We will first find the prime factorization of 51075 and 51090. After we will calculate the factors of 51075 and 51090 and find the biggest common factor number .

Step-1: Prime Factorization of 51075

Prime factors of 51075 are 3, 5, 227. Prime factorization of 51075 in exponential form is:

51075 = 3² × 5² × 227¹

Step-2: Prime Factorization of 51090

Prime factors of 51090 are 2, 3, 5, 13, 131. Prime factorization of 51090 in exponential form is:

51090 = 2¹ × 3¹ × 5¹ × 13¹ × 131¹

Step-3: Factors of 51075

List of positive integer factors of 51075 that divides 51075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 227, 681, 1135, 2043, 3405, 5675, 10215, 17025

Step-4: Factors of 51090

List of positive integer factors of 51090 that divides 51075 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 131, 195, 262, 390, 393, 655, 786, 1310, 1703, 1965, 3406, 3930, 5109, 8515, 10218, 17030, 25545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51075 and 51090. The biggest common factor number is the GCF number.
So the greatest common factor 51075 and 51090 is 15.

Also check out the Least Common Multiple of 51075 and 51090