What is the Greatest Common Factor of 39852 and 39860?

Greatest common factor (GCF) of 39852 and 39860 is 4.

GCF(39852,39860) = 4

We will now calculate the prime factors of 39852 and 39860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39852 and 39860.

How to find the GCF of 39852 and 39860?

We will first find the prime factorization of 39852 and 39860. After we will calculate the factors of 39852 and 39860 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 39860

Prime factors of 39860 are 2, 5, 1993. Prime factorization of 39860 in exponential form is:

39860 = 2² × 5¹ × 1993¹

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 39860

List of positive integer factors of 39860 that divides 39852 without a remainder.

1, 2, 4, 5, 10, 20, 1993, 3986, 7972, 9965, 19930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39852 and 39860. The biggest common factor number is the GCF number.
So the greatest common factor 39852 and 39860 is 4.

Also check out the Least Common Multiple of 39852 and 39860