What is the Greatest Common Factor of 39844 and 39852?

Greatest common factor (GCF) of 39844 and 39852 is 4.

GCF(39844,39852) = 4

We will now calculate the prime factors of 39844 and 39852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39844 and 39852.

How to find the GCF of 39844 and 39852?

We will first find the prime factorization of 39844 and 39852. After we will calculate the factors of 39844 and 39852 and find the biggest common factor number .

Step-1: Prime Factorization of 39844

Prime factors of 39844 are 2, 7, 1423. Prime factorization of 39844 in exponential form is:

39844 = 2² × 7¹ × 1423¹

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 39844

List of positive integer factors of 39844 that divides 39844 without a remainder.

1, 2, 4, 7, 14, 28, 1423, 2846, 5692, 9961, 19922

Step-4: Factors of 39852

List of positive integer factors of 39852 that divides 39844 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 39844 and 39852. The biggest common factor number is the GCF number.
So the greatest common factor 39844 and 39852 is 4.

Also check out the Least Common Multiple of 39844 and 39852