What is the Greatest Common Factor of 83831 and 83840?

Greatest common factor (GCF) of 83831 and 83840 is 1.

GCF(83831,83840) = 1

We will now calculate the prime factors of 83831 and 83840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83831 and 83840.

How to find the GCF of 83831 and 83840?

We will first find the prime factorization of 83831 and 83840. After we will calculate the factors of 83831 and 83840 and find the biggest common factor number .

Step-1: Prime Factorization of 83831

Prime factors of 83831 are 11, 7621. Prime factorization of 83831 in exponential form is:

83831 = 11¹ × 7621¹

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 83831

List of positive integer factors of 83831 that divides 83831 without a remainder.

1, 11, 7621

Step-4: Factors of 83840

List of positive integer factors of 83840 that divides 83831 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 83831 and 83840. The biggest common factor number is the GCF number.
So the greatest common factor 83831 and 83840 is 1.

Also check out the Least Common Multiple of 83831 and 83840