What is the Greatest Common Factor of 63468 and 63474?

Greatest common factor (GCF) of 63468 and 63474 is 6.

GCF(63468,63474) = 6

We will now calculate the prime factors of 63468 and 63474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63468 and 63474.

How to find the GCF of 63468 and 63474?

We will first find the prime factorization of 63468 and 63474. After we will calculate the factors of 63468 and 63474 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63474

Prime factors of 63474 are 2, 3, 71, 149. Prime factorization of 63474 in exponential form is:

63474 = 2¹ × 3¹ × 71¹ × 149¹

Step-3: Factors of 63468

List of positive integer factors of 63468 that divides 63468 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

Step-4: Factors of 63474

List of positive integer factors of 63474 that divides 63468 without a remainder.

1, 2, 3, 6, 71, 142, 149, 213, 298, 426, 447, 894, 10579, 21158, 31737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63468 and 63474. The biggest common factor number is the GCF number.
So the greatest common factor 63468 and 63474 is 6.

Also check out the Least Common Multiple of 63468 and 63474