What is the Greatest Common Factor of 81780 and 81800?

Greatest common factor (GCF) of 81780 and 81800 is 20.

GCF(81780,81800) = 20

We will now calculate the prime factors of 81780 and 81800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81780 and 81800.

How to find the GCF of 81780 and 81800?

We will first find the prime factorization of 81780 and 81800. After we will calculate the factors of 81780 and 81800 and find the biggest common factor number .

Step-1: Prime Factorization of 81780

Prime factors of 81780 are 2, 3, 5, 29, 47. Prime factorization of 81780 in exponential form is:

81780 = 2² × 3¹ × 5¹ × 29¹ × 47¹

Step-2: Prime Factorization of 81800

Prime factors of 81800 are 2, 5, 409. Prime factorization of 81800 in exponential form is:

81800 = 2³ × 5² × 409¹

Step-3: Factors of 81780

List of positive integer factors of 81780 that divides 81780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 47, 58, 60, 87, 94, 116, 141, 145, 174, 188, 235, 282, 290, 348, 435, 470, 564, 580, 705, 870, 940, 1363, 1410, 1740, 2726, 2820, 4089, 5452, 6815, 8178, 13630, 16356, 20445, 27260, 40890

Step-4: Factors of 81800

List of positive integer factors of 81800 that divides 81780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 409, 818, 1636, 2045, 3272, 4090, 8180, 10225, 16360, 20450, 40900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81780 and 81800. The biggest common factor number is the GCF number.
So the greatest common factor 81780 and 81800 is 20.

Also check out the Least Common Multiple of 81780 and 81800