What is the Greatest Common Factor of 63054 and 63066?

Greatest common factor (GCF) of 63054 and 63066 is 6.

GCF(63054,63066) = 6

We will now calculate the prime factors of 63054 and 63066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63054 and 63066.

How to find the GCF of 63054 and 63066?

We will first find the prime factorization of 63054 and 63066. After we will calculate the factors of 63054 and 63066 and find the biggest common factor number .

Step-1: Prime Factorization of 63054

Prime factors of 63054 are 2, 3, 31, 113. Prime factorization of 63054 in exponential form is:

63054 = 2¹ × 3² × 31¹ × 113¹

Step-2: Prime Factorization of 63066

Prime factors of 63066 are 2, 3, 23, 457. Prime factorization of 63066 in exponential form is:

63066 = 2¹ × 3¹ × 23¹ × 457¹

Step-3: Factors of 63054

List of positive integer factors of 63054 that divides 63054 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 113, 186, 226, 279, 339, 558, 678, 1017, 2034, 3503, 7006, 10509, 21018, 31527

Step-4: Factors of 63066

List of positive integer factors of 63066 that divides 63054 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 457, 914, 1371, 2742, 10511, 21022, 31533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63054 and 63066. The biggest common factor number is the GCF number.
So the greatest common factor 63054 and 63066 is 6.

Also check out the Least Common Multiple of 63054 and 63066