What is the Greatest Common Factor of 51270 and 51285?

Greatest common factor (GCF) of 51270 and 51285 is 15.

GCF(51270,51285) = 15

We will now calculate the prime factors of 51270 and 51285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51270 and 51285.

How to find the GCF of 51270 and 51285?

We will first find the prime factorization of 51270 and 51285. After we will calculate the factors of 51270 and 51285 and find the biggest common factor number .

Step-1: Prime Factorization of 51270

Prime factors of 51270 are 2, 3, 5, 1709. Prime factorization of 51270 in exponential form is:

51270 = 2¹ × 3¹ × 5¹ × 1709¹

Step-2: Prime Factorization of 51285

Prime factors of 51285 are 3, 5, 13, 263. Prime factorization of 51285 in exponential form is:

51285 = 3¹ × 5¹ × 13¹ × 263¹

Step-3: Factors of 51270

List of positive integer factors of 51270 that divides 51270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1709, 3418, 5127, 8545, 10254, 17090, 25635

Step-4: Factors of 51285

List of positive integer factors of 51285 that divides 51270 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 263, 789, 1315, 3419, 3945, 10257, 17095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51270 and 51285. The biggest common factor number is the GCF number.
So the greatest common factor 51270 and 51285 is 15.

Also check out the Least Common Multiple of 51270 and 51285