What is the Greatest Common Factor of 61845 and 61861?

Greatest common factor (GCF) of 61845 and 61861 is 1.

GCF(61845,61861) = 1

We will now calculate the prime factors of 61845 and 61861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61845 and 61861.

How to find the GCF of 61845 and 61861?

We will first find the prime factorization of 61845 and 61861. After we will calculate the factors of 61845 and 61861 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 61861

Prime factors of 61861 are 61861. Prime factorization of 61861 in exponential form is:

61861 = 61861¹

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 61861

List of positive integer factors of 61861 that divides 61845 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61845 and 61861. The biggest common factor number is the GCF number.
So the greatest common factor 61845 and 61861 is 1.

Also check out the Least Common Multiple of 61845 and 61861