What is the Greatest Common Factor of 61852 and 61866?

Greatest common factor (GCF) of 61852 and 61866 is 14.

GCF(61852,61866) = 14

We will now calculate the prime factors of 61852 and 61866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61852 and 61866.

How to find the GCF of 61852 and 61866?

We will first find the prime factorization of 61852 and 61866. After we will calculate the factors of 61852 and 61866 and find the biggest common factor number .

Step-1: Prime Factorization of 61852

Prime factors of 61852 are 2, 7, 47. Prime factorization of 61852 in exponential form is:

61852 = 2² × 7¹ × 47²

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 61852

List of positive integer factors of 61852 that divides 61852 without a remainder.

1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316, 2209, 4418, 8836, 15463, 30926

Step-4: Factors of 61866

List of positive integer factors of 61866 that divides 61852 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 61852 and 61866. The biggest common factor number is the GCF number.
So the greatest common factor 61852 and 61866 is 14.

Also check out the Least Common Multiple of 61852 and 61866