What is the Greatest Common Factor of 51150 and 51165?

Greatest common factor (GCF) of 51150 and 51165 is 15.

GCF(51150,51165) = 15

We will now calculate the prime factors of 51150 and 51165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51150 and 51165.

How to find the GCF of 51150 and 51165?

We will first find the prime factorization of 51150 and 51165. After we will calculate the factors of 51150 and 51165 and find the biggest common factor number .

Step-1: Prime Factorization of 51150

Prime factors of 51150 are 2, 3, 5, 11, 31. Prime factorization of 51150 in exponential form is:

51150 = 2¹ × 3¹ × 5² × 11¹ × 31¹

Step-2: Prime Factorization of 51165

Prime factors of 51165 are 3, 5, 379. Prime factorization of 51165 in exponential form is:

51165 = 3³ × 5¹ × 379¹

Step-3: Factors of 51150

List of positive integer factors of 51150 that divides 51150 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 31, 33, 50, 55, 62, 66, 75, 93, 110, 150, 155, 165, 186, 275, 310, 330, 341, 465, 550, 682, 775, 825, 930, 1023, 1550, 1650, 1705, 2046, 2325, 3410, 4650, 5115, 8525, 10230, 17050, 25575

Step-4: Factors of 51165

List of positive integer factors of 51165 that divides 51150 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 379, 1137, 1895, 3411, 5685, 10233, 17055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51150 and 51165. The biggest common factor number is the GCF number.
So the greatest common factor 51150 and 51165 is 15.

Also check out the Least Common Multiple of 51150 and 51165