What is the Greatest Common Factor of 63270 and 63289?

Greatest common factor (GCF) of 63270 and 63289 is 19.

GCF(63270,63289) = 19

We will now calculate the prime factors of 63270 and 63289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63270 and 63289.

How to find the GCF of 63270 and 63289?

We will first find the prime factorization of 63270 and 63289. After we will calculate the factors of 63270 and 63289 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 63289

Prime factors of 63289 are 19, 3331. Prime factorization of 63289 in exponential form is:

63289 = 19¹ × 3331¹

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 63289

List of positive integer factors of 63289 that divides 63270 without a remainder.

1, 19, 3331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63270 and 63289. The biggest common factor number is the GCF number.
So the greatest common factor 63270 and 63289 is 19.

Also check out the Least Common Multiple of 63270 and 63289