What is the Greatest Common Factor of 83820 and 83835?

Greatest common factor (GCF) of 83820 and 83835 is 15.

GCF(83820,83835) = 15

We will now calculate the prime factors of 83820 and 83835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83820 and 83835.

How to find the GCF of 83820 and 83835?

We will first find the prime factorization of 83820 and 83835. After we will calculate the factors of 83820 and 83835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83835

Prime factors of 83835 are 3, 5, 23. Prime factorization of 83835 in exponential form is:

83835 = 3⁶ × 5¹ × 23¹

Step-3: Factors of 83820

List of positive integer factors of 83820 that divides 83820 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

Step-4: Factors of 83835

List of positive integer factors of 83835 that divides 83820 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 243, 345, 405, 621, 729, 1035, 1215, 1863, 3105, 3645, 5589, 9315, 16767, 27945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83820 and 83835. The biggest common factor number is the GCF number.
So the greatest common factor 83820 and 83835 is 15.

Also check out the Least Common Multiple of 83820 and 83835