What is the Greatest Common Factor of 81840 and 81852?

Greatest common factor (GCF) of 81840 and 81852 is 12.

GCF(81840,81852) = 12

We will now calculate the prime factors of 81840 and 81852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81840 and 81852.

How to find the GCF of 81840 and 81852?

We will first find the prime factorization of 81840 and 81852. After we will calculate the factors of 81840 and 81852 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 81852

Prime factors of 81852 are 2, 3, 19, 359. Prime factorization of 81852 in exponential form is:

81852 = 2² × 3¹ × 19¹ × 359¹

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 81852

List of positive integer factors of 81852 that divides 81840 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 359, 718, 1077, 1436, 2154, 4308, 6821, 13642, 20463, 27284, 40926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81840 and 81852. The biggest common factor number is the GCF number.
So the greatest common factor 81840 and 81852 is 12.

Also check out the Least Common Multiple of 81840 and 81852