What is the Greatest Common Factor of 81840 and 81856?

Greatest common factor (GCF) of 81840 and 81856 is 16.

GCF(81840,81856) = 16

We will now calculate the prime factors of 81840 and 81856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81840 and 81856.

How to find the GCF of 81840 and 81856?

We will first find the prime factorization of 81840 and 81856. After we will calculate the factors of 81840 and 81856 and find the biggest common factor number .

Step-1: Prime Factorization of 81840

Prime factors of 81840 are 2, 3, 5, 11, 31. Prime factorization of 81840 in exponential form is:

81840 = 2⁴ × 3¹ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 81856

Prime factors of 81856 are 2, 1279. Prime factorization of 81856 in exponential form is:

81856 = 2⁶ × 1279¹

Step-3: Factors of 81840

List of positive integer factors of 81840 that divides 81840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 31, 33, 40, 44, 48, 55, 60, 62, 66, 80, 88, 93, 110, 120, 124, 132, 155, 165, 176, 186, 220, 240, 248, 264, 310, 330, 341, 372, 440, 465, 496, 528, 620, 660, 682, 744, 880, 930, 1023, 1240, 1320, 1364, 1488, 1705, 1860, 2046, 2480, 2640, 2728, 3410, 3720, 4092, 5115, 5456, 6820, 7440, 8184, 10230, 13640, 16368, 20460, 27280, 40920

Step-4: Factors of 81856

List of positive integer factors of 81856 that divides 81840 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1279, 2558, 5116, 10232, 20464, 40928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81840 and 81856. The biggest common factor number is the GCF number.
So the greatest common factor 81840 and 81856 is 16.

Also check out the Least Common Multiple of 81840 and 81856