What is the Greatest Common Factor of 61218 and 61227?

Greatest common factor (GCF) of 61218 and 61227 is 9.

GCF(61218,61227) = 9

We will now calculate the prime factors of 61218 and 61227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61218 and 61227.

How to find the GCF of 61218 and 61227?

We will first find the prime factorization of 61218 and 61227. After we will calculate the factors of 61218 and 61227 and find the biggest common factor number .

Step-1: Prime Factorization of 61218

Prime factors of 61218 are 2, 3, 19, 179. Prime factorization of 61218 in exponential form is:

61218 = 2¹ × 3² × 19¹ × 179¹

Step-2: Prime Factorization of 61227

Prime factors of 61227 are 3, 6803. Prime factorization of 61227 in exponential form is:

61227 = 3² × 6803¹

Step-3: Factors of 61218

List of positive integer factors of 61218 that divides 61218 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 179, 342, 358, 537, 1074, 1611, 3222, 3401, 6802, 10203, 20406, 30609

Step-4: Factors of 61227

List of positive integer factors of 61227 that divides 61218 without a remainder.

1, 3, 9, 6803, 20409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61218 and 61227. The biggest common factor number is the GCF number.
So the greatest common factor 61218 and 61227 is 9.

Also check out the Least Common Multiple of 61218 and 61227