What is the Greatest Common Factor of 51135 and 51150?

Greatest common factor (GCF) of 51135 and 51150 is 15.

GCF(51135,51150) = 15

We will now calculate the prime factors of 51135 and 51150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51135 and 51150.

How to find the GCF of 51135 and 51150?

We will first find the prime factorization of 51135 and 51150. After we will calculate the factors of 51135 and 51150 and find the biggest common factor number .

Step-1: Prime Factorization of 51135

Prime factors of 51135 are 3, 5, 7, 487. Prime factorization of 51135 in exponential form is:

51135 = 3¹ × 5¹ × 7¹ × 487¹

Step-2: 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-3: Factors of 51135

List of positive integer factors of 51135 that divides 51135 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 487, 1461, 2435, 3409, 7305, 10227, 17045

Step-4: Factors of 51150

List of positive integer factors of 51150 that divides 51135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51135 and 51150. The biggest common factor number is the GCF number.
So the greatest common factor 51135 and 51150 is 15.

Also check out the Least Common Multiple of 51135 and 51150