What is the Greatest Common Factor of 61239 and 61245?

Greatest common factor (GCF) of 61239 and 61245 is 3.

GCF(61239,61245) = 3

We will now calculate the prime factors of 61239 and 61245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61239 and 61245.

How to find the GCF of 61239 and 61245?

We will first find the prime factorization of 61239 and 61245. After we will calculate the factors of 61239 and 61245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61245

Prime factors of 61245 are 3, 5, 1361. Prime factorization of 61245 in exponential form is:

61245 = 3² × 5¹ × 1361¹

Step-3: Factors of 61239

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

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

Step-4: Factors of 61245

List of positive integer factors of 61245 that divides 61239 without a remainder.

1, 3, 5, 9, 15, 45, 1361, 4083, 6805, 12249, 20415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61239 and 61245. The biggest common factor number is the GCF number.
So the greatest common factor 61239 and 61245 is 3.

Also check out the Least Common Multiple of 61239 and 61245