What is the Greatest Common Factor of 39840 and 39852?

Greatest common factor (GCF) of 39840 and 39852 is 12.

GCF(39840,39852) = 12

We will now calculate the prime factors of 39840 and 39852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39840 and 39852.

How to find the GCF of 39840 and 39852?

We will first find the prime factorization of 39840 and 39852. After we will calculate the factors of 39840 and 39852 and find the biggest common factor number .

Step-1: Prime Factorization of 39840

Prime factors of 39840 are 2, 3, 5, 83. Prime factorization of 39840 in exponential form is:

39840 = 2⁵ × 3¹ × 5¹ × 83¹

Step-2: 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-3: Factors of 39840

List of positive integer factors of 39840 that divides 39840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 83, 96, 120, 160, 166, 240, 249, 332, 415, 480, 498, 664, 830, 996, 1245, 1328, 1660, 1992, 2490, 2656, 3320, 3984, 4980, 6640, 7968, 9960, 13280, 19920

Step-4: Factors of 39852

List of positive integer factors of 39852 that divides 39840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39840 and 39852. The biggest common factor number is the GCF number.
So the greatest common factor 39840 and 39852 is 12.

Also check out the Least Common Multiple of 39840 and 39852