What is the Greatest Common Factor of 77925 and 77933?

Greatest common factor (GCF) of 77925 and 77933 is 1.

GCF(77925,77933) = 1

We will now calculate the prime factors of 77925 and 77933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77925 and 77933.

How to find the GCF of 77925 and 77933?

We will first find the prime factorization of 77925 and 77933. After we will calculate the factors of 77925 and 77933 and find the biggest common factor number .

Step-1: Prime Factorization of 77925

Prime factors of 77925 are 3, 5, 1039. Prime factorization of 77925 in exponential form is:

77925 = 3¹ × 5² × 1039¹

Step-2: Prime Factorization of 77933

Prime factors of 77933 are 77933. Prime factorization of 77933 in exponential form is:

77933 = 77933¹

Step-3: Factors of 77925

List of positive integer factors of 77925 that divides 77925 without a remainder.

1, 3, 5, 15, 25, 75, 1039, 3117, 5195, 15585, 25975

Step-4: Factors of 77933

List of positive integer factors of 77933 that divides 77925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77925 and 77933. The biggest common factor number is the GCF number.
So the greatest common factor 77925 and 77933 is 1.

Also check out the Least Common Multiple of 77925 and 77933