What is the Greatest Common Factor of 51270 and 51282?

Greatest common factor (GCF) of 51270 and 51282 is 6.

GCF(51270,51282) = 6

We will now calculate the prime factors of 51270 and 51282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51270 and 51282.

How to find the GCF of 51270 and 51282?

We will first find the prime factorization of 51270 and 51282. After we will calculate the factors of 51270 and 51282 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 51282

Prime factors of 51282 are 2, 3, 7, 11, 37. Prime factorization of 51282 in exponential form is:

51282 = 2¹ × 3² × 7¹ × 11¹ × 37¹

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 51282

List of positive integer factors of 51282 that divides 51270 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 37, 42, 63, 66, 74, 77, 99, 111, 126, 154, 198, 222, 231, 259, 333, 407, 462, 518, 666, 693, 777, 814, 1221, 1386, 1554, 2331, 2442, 2849, 3663, 4662, 5698, 7326, 8547, 17094, 25641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51270 and 51282. The biggest common factor number is the GCF number.
So the greatest common factor 51270 and 51282 is 6.

Also check out the Least Common Multiple of 51270 and 51282