What is the Greatest Common Factor of 61866 and 61884?

Greatest common factor (GCF) of 61866 and 61884 is 18.

GCF(61866,61884) = 18

We will now calculate the prime factors of 61866 and 61884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61866 and 61884.

How to find the GCF of 61866 and 61884?

We will first find the prime factorization of 61866 and 61884. After we will calculate the factors of 61866 and 61884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61884

Prime factors of 61884 are 2, 3, 191. Prime factorization of 61884 in exponential form is:

61884 = 2² × 3⁴ × 191¹

Step-3: Factors of 61866

List of positive integer factors of 61866 that divides 61866 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

Step-4: Factors of 61884

List of positive integer factors of 61884 that divides 61866 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 191, 324, 382, 573, 764, 1146, 1719, 2292, 3438, 5157, 6876, 10314, 15471, 20628, 30942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61866 and 61884. The biggest common factor number is the GCF number.
So the greatest common factor 61866 and 61884 is 18.

Also check out the Least Common Multiple of 61866 and 61884