What is the Greatest Common Factor of 61227 and 61239?

Greatest common factor (GCF) of 61227 and 61239 is 3.

GCF(61227,61239) = 3

We will now calculate the prime factors of 61227 and 61239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61227 and 61239.

How to find the GCF of 61227 and 61239?

We will first find the prime factorization of 61227 and 61239. After we will calculate the factors of 61227 and 61239 and find the biggest common factor number .

Step-1: Prime Factorization of 61227

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

61227 = 3² × 6803¹

Step-2: Prime Factorization of 61239

Prime factors of 61239 are 3, 137, 149. Prime factorization of 61239 in exponential form is:

61239 = 3¹ × 137¹ × 149¹

Step-3: Factors of 61227

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

1, 3, 9, 6803, 20409

Step-4: Factors of 61239

List of positive integer factors of 61239 that divides 61227 without a remainder.

1, 3, 137, 149, 411, 447, 20413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61227 and 61239. The biggest common factor number is the GCF number.
So the greatest common factor 61227 and 61239 is 3.

Also check out the Least Common Multiple of 61227 and 61239