What is the Greatest Common Factor of 83805 and 83820?

Greatest common factor (GCF) of 83805 and 83820 is 15.

GCF(83805,83820) = 15

We will now calculate the prime factors of 83805 and 83820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83805 and 83820.

How to find the GCF of 83805 and 83820?

We will first find the prime factorization of 83805 and 83820. After we will calculate the factors of 83805 and 83820 and find the biggest common factor number .

Step-1: Prime Factorization of 83805

Prime factors of 83805 are 3, 5, 37, 151. Prime factorization of 83805 in exponential form is:

83805 = 3¹ × 5¹ × 37¹ × 151¹

Step-2: Prime Factorization of 83820

Prime factors of 83820 are 2, 3, 5, 11, 127. Prime factorization of 83820 in exponential form is:

83820 = 2² × 3¹ × 5¹ × 11¹ × 127¹

Step-3: Factors of 83805

List of positive integer factors of 83805 that divides 83805 without a remainder.

1, 3, 5, 15, 37, 111, 151, 185, 453, 555, 755, 2265, 5587, 16761, 27935

Step-4: Factors of 83820

List of positive integer factors of 83820 that divides 83805 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 127, 132, 165, 220, 254, 330, 381, 508, 635, 660, 762, 1270, 1397, 1524, 1905, 2540, 2794, 3810, 4191, 5588, 6985, 7620, 8382, 13970, 16764, 20955, 27940, 41910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83805 and 83820. The biggest common factor number is the GCF number.
So the greatest common factor 83805 and 83820 is 15.

Also check out the Least Common Multiple of 83805 and 83820