What is the Greatest Common Factor of 63270 and 63288?

Greatest common factor (GCF) of 63270 and 63288 is 18.

GCF(63270,63288) = 18

We will now calculate the prime factors of 63270 and 63288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63270 and 63288.

How to find the GCF of 63270 and 63288?

We will first find the prime factorization of 63270 and 63288. After we will calculate the factors of 63270 and 63288 and find the biggest common factor number .

Step-1: Prime Factorization of 63270

Prime factors of 63270 are 2, 3, 5, 19, 37. Prime factorization of 63270 in exponential form is:

63270 = 2¹ × 3² × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 63288

Prime factors of 63288 are 2, 3, 293. Prime factorization of 63288 in exponential form is:

63288 = 2³ × 3³ × 293¹

Step-3: Factors of 63270

List of positive integer factors of 63270 that divides 63270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 37, 38, 45, 57, 74, 90, 95, 111, 114, 171, 185, 190, 222, 285, 333, 342, 370, 555, 570, 666, 703, 855, 1110, 1406, 1665, 1710, 2109, 3330, 3515, 4218, 6327, 7030, 10545, 12654, 21090, 31635

Step-4: Factors of 63288

List of positive integer factors of 63288 that divides 63270 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 5274, 7032, 7911, 10548, 15822, 21096, 31644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63270 and 63288. The biggest common factor number is the GCF number.
So the greatest common factor 63270 and 63288 is 18.

Also check out the Least Common Multiple of 63270 and 63288