What is the Greatest Common Factor of 39856 and 39872?

Greatest common factor (GCF) of 39856 and 39872 is 16.

GCF(39856,39872) = 16

We will now calculate the prime factors of 39856 and 39872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39856 and 39872.

How to find the GCF of 39856 and 39872?

We will first find the prime factorization of 39856 and 39872. After we will calculate the factors of 39856 and 39872 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 39872

Prime factors of 39872 are 2, 7, 89. Prime factorization of 39872 in exponential form is:

39872 = 2⁶ × 7¹ × 89¹

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 39872

List of positive integer factors of 39872 that divides 39856 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 178, 224, 356, 448, 623, 712, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 19936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39856 and 39872. The biggest common factor number is the GCF number.
So the greatest common factor 39856 and 39872 is 16.

Also check out the Least Common Multiple of 39856 and 39872