What is the Greatest Common Factor of 83886 and 83904?

Greatest common factor (GCF) of 83886 and 83904 is 6.

GCF(83886,83904) = 6

We will now calculate the prime factors of 83886 and 83904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83886 and 83904.

How to find the GCF of 83886 and 83904?

We will first find the prime factorization of 83886 and 83904. After we will calculate the factors of 83886 and 83904 and find the biggest common factor number .

Step-1: Prime Factorization of 83886

Prime factors of 83886 are 2, 3, 11, 31, 41. Prime factorization of 83886 in exponential form is:

83886 = 2¹ × 3¹ × 11¹ × 31¹ × 41¹

Step-2: Prime Factorization of 83904

Prime factors of 83904 are 2, 3, 19, 23. Prime factorization of 83904 in exponential form is:

83904 = 2⁶ × 3¹ × 19¹ × 23¹

Step-3: Factors of 83886

List of positive integer factors of 83886 that divides 83886 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 41, 62, 66, 82, 93, 123, 186, 246, 341, 451, 682, 902, 1023, 1271, 1353, 2046, 2542, 2706, 3813, 7626, 13981, 27962, 41943

Step-4: Factors of 83904

List of positive integer factors of 83904 that divides 83886 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 32, 38, 46, 48, 57, 64, 69, 76, 92, 96, 114, 138, 152, 184, 192, 228, 276, 304, 368, 437, 456, 552, 608, 736, 874, 912, 1104, 1216, 1311, 1472, 1748, 1824, 2208, 2622, 3496, 3648, 4416, 5244, 6992, 10488, 13984, 20976, 27968, 41952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83886 and 83904. The biggest common factor number is the GCF number.
So the greatest common factor 83886 and 83904 is 6.

Also check out the Least Common Multiple of 83886 and 83904