What is the Greatest Common Factor of 39840 and 39856?

Greatest common factor (GCF) of 39840 and 39856 is 16.

GCF(39840,39856) = 16

We will now calculate the prime factors of 39840 and 39856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39840 and 39856.

How to find the GCF of 39840 and 39856?

We will first find the prime factorization of 39840 and 39856. After we will calculate the factors of 39840 and 39856 and find the biggest common factor number .

Step-1: Prime Factorization of 39840

Prime factors of 39840 are 2, 3, 5, 83. Prime factorization of 39840 in exponential form is:

39840 = 2⁵ × 3¹ × 5¹ × 83¹

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 39840

List of positive integer factors of 39840 that divides 39840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 83, 96, 120, 160, 166, 240, 249, 332, 415, 480, 498, 664, 830, 996, 1245, 1328, 1660, 1992, 2490, 2656, 3320, 3984, 4980, 6640, 7968, 9960, 13280, 19920

Step-4: Factors of 39856

List of positive integer factors of 39856 that divides 39840 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 39840 and 39856. The biggest common factor number is the GCF number.
So the greatest common factor 39840 and 39856 is 16.

Also check out the Least Common Multiple of 39840 and 39856