What is the Greatest Common Factor of 63225 and 63240?

Greatest common factor (GCF) of 63225 and 63240 is 15.

GCF(63225,63240) = 15

We will now calculate the prime factors of 63225 and 63240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63225 and 63240.

How to find the GCF of 63225 and 63240?

We will first find the prime factorization of 63225 and 63240. After we will calculate the factors of 63225 and 63240 and find the biggest common factor number .

Step-1: Prime Factorization of 63225

Prime factors of 63225 are 3, 5, 281. Prime factorization of 63225 in exponential form is:

63225 = 3² × 5² × 281¹

Step-2: 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-3: Factors of 63225

List of positive integer factors of 63225 that divides 63225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 281, 843, 1405, 2529, 4215, 7025, 12645, 21075

Step-4: Factors of 63240

List of positive integer factors of 63240 that divides 63225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63225 and 63240. The biggest common factor number is the GCF number.
So the greatest common factor 63225 and 63240 is 15.

Also check out the Least Common Multiple of 63225 and 63240