What is the Greatest Common Factor of 83840 and 83855?

Greatest common factor (GCF) of 83840 and 83855 is 5.

GCF(83840,83855) = 5

We will now calculate the prime factors of 83840 and 83855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83840 and 83855.

How to find the GCF of 83840 and 83855?

We will first find the prime factorization of 83840 and 83855. After we will calculate the factors of 83840 and 83855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83855

Prime factors of 83855 are 5, 31, 541. Prime factorization of 83855 in exponential form is:

83855 = 5¹ × 31¹ × 541¹

Step-3: Factors of 83840

List of positive integer factors of 83840 that divides 83840 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

Step-4: Factors of 83855

List of positive integer factors of 83855 that divides 83840 without a remainder.

1, 5, 31, 155, 541, 2705, 16771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83840 and 83855. The biggest common factor number is the GCF number.
So the greatest common factor 83840 and 83855 is 5.

Also check out the Least Common Multiple of 83840 and 83855