What is the Greatest Common Factor of 81825 and 81840?

Greatest common factor (GCF) of 81825 and 81840 is 15.

GCF(81825,81840) = 15

We will now calculate the prime factors of 81825 and 81840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81825 and 81840.

How to find the GCF of 81825 and 81840?

We will first find the prime factorization of 81825 and 81840. After we will calculate the factors of 81825 and 81840 and find the biggest common factor number .

Step-1: Prime Factorization of 81825

Prime factors of 81825 are 3, 5, 1091. Prime factorization of 81825 in exponential form is:

81825 = 3¹ × 5² × 1091¹

Step-2: 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-3: Factors of 81825

List of positive integer factors of 81825 that divides 81825 without a remainder.

1, 3, 5, 15, 25, 75, 1091, 3273, 5455, 16365, 27275

Step-4: Factors of 81840

List of positive integer factors of 81840 that divides 81825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81825 and 81840. The biggest common factor number is the GCF number.
So the greatest common factor 81825 and 81840 is 15.

Also check out the Least Common Multiple of 81825 and 81840