What is the Greatest Common Factor of 63018 and 63027?

Greatest common factor (GCF) of 63018 and 63027 is 9.

GCF(63018,63027) = 9

We will now calculate the prime factors of 63018 and 63027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63018 and 63027.

How to find the GCF of 63018 and 63027?

We will first find the prime factorization of 63018 and 63027. After we will calculate the factors of 63018 and 63027 and find the biggest common factor number .

Step-1: Prime Factorization of 63018

Prime factors of 63018 are 2, 3, 389. Prime factorization of 63018 in exponential form is:

63018 = 2¹ × 3⁴ × 389¹

Step-2: Prime Factorization of 63027

Prime factors of 63027 are 3, 47, 149. Prime factorization of 63027 in exponential form is:

63027 = 3² × 47¹ × 149¹

Step-3: Factors of 63018

List of positive integer factors of 63018 that divides 63018 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 389, 778, 1167, 2334, 3501, 7002, 10503, 21006, 31509

Step-4: Factors of 63027

List of positive integer factors of 63027 that divides 63018 without a remainder.

1, 3, 9, 47, 141, 149, 423, 447, 1341, 7003, 21009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63018 and 63027. The biggest common factor number is the GCF number.
So the greatest common factor 63018 and 63027 is 9.

Also check out the Least Common Multiple of 63018 and 63027