What is the Greatest Common Factor of 81840 and 81860?

Greatest common factor (GCF) of 81840 and 81860 is 20.

GCF(81840,81860) = 20

We will now calculate the prime factors of 81840 and 81860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81840 and 81860.

How to find the GCF of 81840 and 81860?

We will first find the prime factorization of 81840 and 81860. After we will calculate the factors of 81840 and 81860 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 81860

Prime factors of 81860 are 2, 5, 4093. Prime factorization of 81860 in exponential form is:

81860 = 2² × 5¹ × 4093¹

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 81860

List of positive integer factors of 81860 that divides 81840 without a remainder.

1, 2, 4, 5, 10, 20, 4093, 8186, 16372, 20465, 40930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81840 and 81860. The biggest common factor number is the GCF number.
So the greatest common factor 81840 and 81860 is 20.

Also check out the Least Common Multiple of 81840 and 81860