What is the Greatest Common Factor of 61845 and 61857?

Greatest common factor (GCF) of 61845 and 61857 is 3.

GCF(61845,61857) = 3

We will now calculate the prime factors of 61845 and 61857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61845 and 61857.

How to find the GCF of 61845 and 61857?

We will first find the prime factorization of 61845 and 61857. After we will calculate the factors of 61845 and 61857 and find the biggest common factor number .

Step-1: Prime Factorization of 61845

Prime factors of 61845 are 3, 5, 7, 19, 31. Prime factorization of 61845 in exponential form is:

61845 = 3¹ × 5¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 61857

Prime factors of 61857 are 3, 29, 79. Prime factorization of 61857 in exponential form is:

61857 = 3³ × 29¹ × 79¹

Step-3: Factors of 61845

List of positive integer factors of 61845 that divides 61845 without a remainder.

1, 3, 5, 7, 15, 19, 21, 31, 35, 57, 93, 95, 105, 133, 155, 217, 285, 399, 465, 589, 651, 665, 1085, 1767, 1995, 2945, 3255, 4123, 8835, 12369, 20615

Step-4: Factors of 61857

List of positive integer factors of 61857 that divides 61845 without a remainder.

1, 3, 9, 27, 29, 79, 87, 237, 261, 711, 783, 2133, 2291, 6873, 20619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61845 and 61857. The biggest common factor number is the GCF number.
So the greatest common factor 61845 and 61857 is 3.

Also check out the Least Common Multiple of 61845 and 61857