What is the Greatest Common Factor of 63240 and 63260?

Greatest common factor (GCF) of 63240 and 63260 is 20.

GCF(63240,63260) = 20

We will now calculate the prime factors of 63240 and 63260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63240 and 63260.

How to find the GCF of 63240 and 63260?

We will first find the prime factorization of 63240 and 63260. After we will calculate the factors of 63240 and 63260 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 63260

Prime factors of 63260 are 2, 5, 3163. Prime factorization of 63260 in exponential form is:

63260 = 2² × 5¹ × 3163¹

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 63260

List of positive integer factors of 63260 that divides 63240 without a remainder.

1, 2, 4, 5, 10, 20, 3163, 6326, 12652, 15815, 31630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63240 and 63260. The biggest common factor number is the GCF number.
So the greatest common factor 63240 and 63260 is 20.

Also check out the Least Common Multiple of 63240 and 63260