What is the Greatest Common Factor of 61857 and 61866?

Greatest common factor (GCF) of 61857 and 61866 is 9.

GCF(61857,61866) = 9

We will now calculate the prime factors of 61857 and 61866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61857 and 61866.

How to find the GCF of 61857 and 61866?

We will first find the prime factorization of 61857 and 61866. After we will calculate the factors of 61857 and 61866 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61866

Prime factors of 61866 are 2, 3, 7, 491. Prime factorization of 61866 in exponential form is:

61866 = 2¹ × 3² × 7¹ × 491¹

Step-3: Factors of 61857

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

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

Step-4: Factors of 61866

List of positive integer factors of 61866 that divides 61857 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 491, 982, 1473, 2946, 3437, 4419, 6874, 8838, 10311, 20622, 30933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61857 and 61866. The biggest common factor number is the GCF number.
So the greatest common factor 61857 and 61866 is 9.

Also check out the Least Common Multiple of 61857 and 61866