What is the Greatest Common Factor of 63450 and 63468?

Greatest common factor (GCF) of 63450 and 63468 is 18.

GCF(63450,63468) = 18

We will now calculate the prime factors of 63450 and 63468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63450 and 63468.

How to find the GCF of 63450 and 63468?

We will first find the prime factorization of 63450 and 63468. After we will calculate the factors of 63450 and 63468 and find the biggest common factor number .

Step-1: Prime Factorization of 63450

Prime factors of 63450 are 2, 3, 5, 47. Prime factorization of 63450 in exponential form is:

63450 = 2¹ × 3³ × 5² × 47¹

Step-2: Prime Factorization of 63468

Prime factors of 63468 are 2, 3, 41, 43. Prime factorization of 63468 in exponential form is:

63468 = 2² × 3² × 41¹ × 43¹

Step-3: Factors of 63450

List of positive integer factors of 63450 that divides 63450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 47, 50, 54, 75, 90, 94, 135, 141, 150, 225, 235, 270, 282, 423, 450, 470, 675, 705, 846, 1175, 1269, 1350, 1410, 2115, 2350, 2538, 3525, 4230, 6345, 7050, 10575, 12690, 21150, 31725

Step-4: Factors of 63468

List of positive integer factors of 63468 that divides 63450 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 43, 82, 86, 123, 129, 164, 172, 246, 258, 369, 387, 492, 516, 738, 774, 1476, 1548, 1763, 3526, 5289, 7052, 10578, 15867, 21156, 31734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63450 and 63468. The biggest common factor number is the GCF number.
So the greatest common factor 63450 and 63468 is 18.

Also check out the Least Common Multiple of 63450 and 63468