What is the Greatest Common Factor of 39856 and 39876?

Greatest common factor (GCF) of 39856 and 39876 is 4.

GCF(39856,39876) = 4

We will now calculate the prime factors of 39856 and 39876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39856 and 39876.

How to find the GCF of 39856 and 39876?

We will first find the prime factorization of 39856 and 39876. After we will calculate the factors of 39856 and 39876 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39876

Prime factors of 39876 are 2, 3, 3323. Prime factorization of 39876 in exponential form is:

39876 = 2² × 3¹ × 3323¹

Step-3: Factors of 39856

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

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

Step-4: Factors of 39876

List of positive integer factors of 39876 that divides 39856 without a remainder.

1, 2, 3, 4, 6, 12, 3323, 6646, 9969, 13292, 19938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39856 and 39876. The biggest common factor number is the GCF number.
So the greatest common factor 39856 and 39876 is 4.

Also check out the Least Common Multiple of 39856 and 39876