What is the Greatest Common Factor of 83835 and 83840?

Greatest common factor (GCF) of 83835 and 83840 is 5.

GCF(83835,83840) = 5

We will now calculate the prime factors of 83835 and 83840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83835 and 83840.

How to find the GCF of 83835 and 83840?

We will first find the prime factorization of 83835 and 83840. After we will calculate the factors of 83835 and 83840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83840

Prime factors of 83840 are 2, 5, 131. Prime factorization of 83840 in exponential form is:

83840 = 2⁷ × 5¹ × 131¹

Step-3: Factors of 83835

List of positive integer factors of 83835 that divides 83835 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

Step-4: Factors of 83840

List of positive integer factors of 83840 that divides 83835 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 131, 160, 262, 320, 524, 640, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 16768, 20960, 41920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83835 and 83840. The biggest common factor number is the GCF number.
So the greatest common factor 83835 and 83840 is 5.

Also check out the Least Common Multiple of 83835 and 83840