What is the Greatest Common Factor of 63222 and 63240?

Greatest common factor (GCF) of 63222 and 63240 is 6.

GCF(63222,63240) = 6

We will now calculate the prime factors of 63222 and 63240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63222 and 63240.

How to find the GCF of 63222 and 63240?

We will first find the prime factorization of 63222 and 63240. After we will calculate the factors of 63222 and 63240 and find the biggest common factor number .

Step-1: Prime Factorization of 63222

Prime factors of 63222 are 2, 3, 41, 257. Prime factorization of 63222 in exponential form is:

63222 = 2¹ × 3¹ × 41¹ × 257¹

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 63222

List of positive integer factors of 63222 that divides 63222 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 257, 514, 771, 1542, 10537, 21074, 31611

Step-4: Factors of 63240

List of positive integer factors of 63240 that divides 63222 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 63222 and 63240. The biggest common factor number is the GCF number.
So the greatest common factor 63222 and 63240 is 6.

Also check out the Least Common Multiple of 63222 and 63240