What is the Greatest Common Factor of 63240 and 63252?

Greatest common factor (GCF) of 63240 and 63252 is 12.

GCF(63240,63252) = 12

We will now calculate the prime factors of 63240 and 63252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63240 and 63252.

How to find the GCF of 63240 and 63252?

We will first find the prime factorization of 63240 and 63252. After we will calculate the factors of 63240 and 63252 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 63252

Prime factors of 63252 are 2, 3, 7, 251. Prime factorization of 63252 in exponential form is:

63252 = 2² × 3² × 7¹ × 251¹

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 63252

List of positive integer factors of 63252 that divides 63240 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 251, 252, 502, 753, 1004, 1506, 1757, 2259, 3012, 3514, 4518, 5271, 7028, 9036, 10542, 15813, 21084, 31626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63240 and 63252. The biggest common factor number is the GCF number.
So the greatest common factor 63240 and 63252 is 12.

Also check out the Least Common Multiple of 63240 and 63252