What is the Greatest Common Factor of 81840 and 81849?

Greatest common factor (GCF) of 81840 and 81849 is 3.

GCF(81840,81849) = 3

We will now calculate the prime factors of 81840 and 81849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81840 and 81849.

How to find the GCF of 81840 and 81849?

We will first find the prime factorization of 81840 and 81849. After we will calculate the factors of 81840 and 81849 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 81849

Prime factors of 81849 are 3, 27283. Prime factorization of 81849 in exponential form is:

81849 = 3¹ × 27283¹

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 81849

List of positive integer factors of 81849 that divides 81840 without a remainder.

1, 3, 27283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81840 and 81849. The biggest common factor number is the GCF number.
So the greatest common factor 81840 and 81849 is 3.

Also check out the Least Common Multiple of 81840 and 81849