What is the Greatest Common Factor of 83825 and 83831?

Greatest common factor (GCF) of 83825 and 83831 is 1.

GCF(83825,83831) = 1

We will now calculate the prime factors of 83825 and 83831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83825 and 83831.

How to find the GCF of 83825 and 83831?

We will first find the prime factorization of 83825 and 83831. After we will calculate the factors of 83825 and 83831 and find the biggest common factor number .

Step-1: Prime Factorization of 83825

Prime factors of 83825 are 5, 7, 479. Prime factorization of 83825 in exponential form is:

83825 = 5² × 7¹ × 479¹

Step-2: Prime Factorization of 83831

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

83831 = 11¹ × 7621¹

Step-3: Factors of 83825

List of positive integer factors of 83825 that divides 83825 without a remainder.

1, 5, 7, 25, 35, 175, 479, 2395, 3353, 11975, 16765

Step-4: Factors of 83831

List of positive integer factors of 83831 that divides 83825 without a remainder.

1, 11, 7621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83825 and 83831. The biggest common factor number is the GCF number.
So the greatest common factor 83825 and 83831 is 1.

Also check out the Least Common Multiple of 83825 and 83831