What is the Greatest Common Factor of 83921 and 83925?

Greatest common factor (GCF) of 83921 and 83925 is 1.

GCF(83921,83925) = 1

We will now calculate the prime factors of 83921 and 83925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83921 and 83925.

How to find the GCF of 83921 and 83925?

We will first find the prime factorization of 83921 and 83925. After we will calculate the factors of 83921 and 83925 and find the biggest common factor number .

Step-1: Prime Factorization of 83921

Prime factors of 83921 are 83921. Prime factorization of 83921 in exponential form is:

83921 = 83921¹

Step-2: 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-3: Factors of 83921

List of positive integer factors of 83921 that divides 83921 without a remainder.

Step-4: Factors of 83925

List of positive integer factors of 83925 that divides 83921 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83921 and 83925. The biggest common factor number is the GCF number.
So the greatest common factor 83921 and 83925 is 1.

Also check out the Least Common Multiple of 83921 and 83925