What is the Greatest Common Factor of 39852 and 39866?

Greatest common factor (GCF) of 39852 and 39866 is 2.

GCF(39852,39866) = 2

We will now calculate the prime factors of 39852 and 39866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39852 and 39866.

How to find the GCF of 39852 and 39866?

We will first find the prime factorization of 39852 and 39866. After we will calculate the factors of 39852 and 39866 and find the biggest common factor number .

Step-1: Prime Factorization of 39852

Prime factors of 39852 are 2, 3, 41. Prime factorization of 39852 in exponential form is:

39852 = 2² × 3⁵ × 41¹

Step-2: Prime Factorization of 39866

Prime factors of 39866 are 2, 31, 643. Prime factorization of 39866 in exponential form is:

39866 = 2¹ × 31¹ × 643¹

Step-3: Factors of 39852

List of positive integer factors of 39852 that divides 39852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 81, 82, 108, 123, 162, 164, 243, 246, 324, 369, 486, 492, 738, 972, 1107, 1476, 2214, 3321, 4428, 6642, 9963, 13284, 19926

Step-4: Factors of 39866

List of positive integer factors of 39866 that divides 39852 without a remainder.

1, 2, 31, 62, 643, 1286, 19933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39852 and 39866. The biggest common factor number is the GCF number.
So the greatest common factor 39852 and 39866 is 2.

Also check out the Least Common Multiple of 39852 and 39866