What is the Greatest Common Factor of 83925 and 83933?

Greatest common factor (GCF) of 83925 and 83933 is 1.

GCF(83925,83933) = 1

We will now calculate the prime factors of 83925 and 83933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83925 and 83933.

How to find the GCF of 83925 and 83933?

We will first find the prime factorization of 83925 and 83933. After we will calculate the factors of 83925 and 83933 and find the biggest common factor number .

Step-1: Prime Factorization of 83925

Prime factors of 83925 are 3, 5, 373. Prime factorization of 83925 in exponential form is:

83925 = 3² × 5² × 373¹

Step-2: Prime Factorization of 83933

Prime factors of 83933 are 83933. Prime factorization of 83933 in exponential form is:

83933 = 83933¹

Step-3: Factors of 83925

List of positive integer factors of 83925 that divides 83925 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 373, 1119, 1865, 3357, 5595, 9325, 16785, 27975

Step-4: Factors of 83933

List of positive integer factors of 83933 that divides 83925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83925 and 83933. The biggest common factor number is the GCF number.
So the greatest common factor 83925 and 83933 is 1.

Also check out the Least Common Multiple of 83925 and 83933