What is the Greatest Common Factor of 63251 and 63270?

Greatest common factor (GCF) of 63251 and 63270 is 19.

GCF(63251,63270) = 19

We will now calculate the prime factors of 63251 and 63270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63251 and 63270.

How to find the GCF of 63251 and 63270?

We will first find the prime factorization of 63251 and 63270. After we will calculate the factors of 63251 and 63270 and find the biggest common factor number .

Step-1: Prime Factorization of 63251

Prime factors of 63251 are 19, 3329. Prime factorization of 63251 in exponential form is:

63251 = 19¹ × 3329¹

Step-2: 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-3: Factors of 63251

List of positive integer factors of 63251 that divides 63251 without a remainder.

1, 19, 3329

Step-4: Factors of 63270

List of positive integer factors of 63270 that divides 63251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63251 and 63270. The biggest common factor number is the GCF number.
So the greatest common factor 63251 and 63270 is 19.

Also check out the Least Common Multiple of 63251 and 63270