What is the Greatest Common Factor of 63240 and 63255?

Greatest common factor (GCF) of 63240 and 63255 is 15.

GCF(63240,63255) = 15

We will now calculate the prime factors of 63240 and 63255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63240 and 63255.

How to find the GCF of 63240 and 63255?

We will first find the prime factorization of 63240 and 63255. After we will calculate the factors of 63240 and 63255 and find the biggest common factor number .

Step-1: Prime Factorization of 63240

Prime factors of 63240 are 2, 3, 5, 17, 31. Prime factorization of 63240 in exponential form is:

63240 = 2³ × 3¹ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 63255

Prime factors of 63255 are 3, 5, 4217. Prime factorization of 63255 in exponential form is:

63255 = 3¹ × 5¹ × 4217¹

Step-3: Factors of 63240

List of positive integer factors of 63240 that divides 63240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 31, 34, 40, 51, 60, 62, 68, 85, 93, 102, 120, 124, 136, 155, 170, 186, 204, 248, 255, 310, 340, 372, 408, 465, 510, 527, 620, 680, 744, 930, 1020, 1054, 1240, 1581, 1860, 2040, 2108, 2635, 3162, 3720, 4216, 5270, 6324, 7905, 10540, 12648, 15810, 21080, 31620

Step-4: Factors of 63255

List of positive integer factors of 63255 that divides 63240 without a remainder.

1, 3, 5, 15, 4217, 12651, 21085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63240 and 63255. The biggest common factor number is the GCF number.
So the greatest common factor 63240 and 63255 is 15.

Also check out the Least Common Multiple of 63240 and 63255