What is the Greatest Common Factor of 39856 and 39875?

Greatest common factor (GCF) of 39856 and 39875 is 1.

GCF(39856,39875) = 1

We will now calculate the prime factors of 39856 and 39875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39856 and 39875.

How to find the GCF of 39856 and 39875?

We will first find the prime factorization of 39856 and 39875. After we will calculate the factors of 39856 and 39875 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 39875

Prime factors of 39875 are 5, 11, 29. Prime factorization of 39875 in exponential form is:

39875 = 5³ × 11¹ × 29¹

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 39875

List of positive integer factors of 39875 that divides 39856 without a remainder.

1, 5, 11, 25, 29, 55, 125, 145, 275, 319, 725, 1375, 1595, 3625, 7975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39856 and 39875. The biggest common factor number is the GCF number.
So the greatest common factor 39856 and 39875 is 1.

Also check out the Least Common Multiple of 39856 and 39875