What is the Greatest Common Factor of 39844 and 39856?

Greatest common factor (GCF) of 39844 and 39856 is 4.

GCF(39844,39856) = 4

We will now calculate the prime factors of 39844 and 39856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39844 and 39856.

How to find the GCF of 39844 and 39856?

We will first find the prime factorization of 39844 and 39856. After we will calculate the factors of 39844 and 39856 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 39856

Prime factors of 39856 are 2, 47, 53. Prime factorization of 39856 in exponential form is:

39856 = 2⁴ × 47¹ × 53¹

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 39856

List of positive integer factors of 39856 that divides 39844 without a remainder.

1, 2, 4, 8, 16, 47, 53, 94, 106, 188, 212, 376, 424, 752, 848, 2491, 4982, 9964, 19928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39844 and 39856. The biggest common factor number is the GCF number.
So the greatest common factor 39844 and 39856 is 4.

Also check out the Least Common Multiple of 39844 and 39856