What is the Greatest Common Factor of 39852 and 39871?

Greatest common factor (GCF) of 39852 and 39871 is 1.

GCF(39852,39871) = 1

We will now calculate the prime factors of 39852 and 39871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39852 and 39871.

How to find the GCF of 39852 and 39871?

We will first find the prime factorization of 39852 and 39871. After we will calculate the factors of 39852 and 39871 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 39871

Prime factors of 39871 are 13, 3067. Prime factorization of 39871 in exponential form is:

39871 = 13¹ × 3067¹

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 39871

List of positive integer factors of 39871 that divides 39852 without a remainder.

1, 13, 3067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39852 and 39871. The biggest common factor number is the GCF number.
So the greatest common factor 39852 and 39871 is 1.

Also check out the Least Common Multiple of 39852 and 39871