What is the Greatest Common Factor of 63458 and 63468?

Greatest common factor (GCF) of 63458 and 63468 is 2.

GCF(63458,63468) = 2

We will now calculate the prime factors of 63458 and 63468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63458 and 63468.

How to find the GCF of 63458 and 63468?

We will first find the prime factorization of 63458 and 63468. After we will calculate the factors of 63458 and 63468 and find the biggest common factor number .

Step-1: Prime Factorization of 63458

Prime factors of 63458 are 2, 31729. Prime factorization of 63458 in exponential form is:

63458 = 2¹ × 31729¹

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 63458

List of positive integer factors of 63458 that divides 63458 without a remainder.

1, 2, 31729

Step-4: Factors of 63468

List of positive integer factors of 63468 that divides 63458 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 63458 and 63468. The biggest common factor number is the GCF number.
So the greatest common factor 63458 and 63468 is 2.

Also check out the Least Common Multiple of 63458 and 63468