What is the Greatest Common Factor of 73925 and 73939?

Greatest common factor (GCF) of 73925 and 73939 is 1.

GCF(73925,73939) = 1

We will now calculate the prime factors of 73925 and 73939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73925 and 73939.

How to find the GCF of 73925 and 73939?

We will first find the prime factorization of 73925 and 73939. After we will calculate the factors of 73925 and 73939 and find the biggest common factor number .

Step-1: Prime Factorization of 73925

Prime factors of 73925 are 5, 2957. Prime factorization of 73925 in exponential form is:

73925 = 5² × 2957¹

Step-2: Prime Factorization of 73939

Prime factors of 73939 are 73939. Prime factorization of 73939 in exponential form is:

73939 = 73939¹

Step-3: Factors of 73925

List of positive integer factors of 73925 that divides 73925 without a remainder.

1, 5, 25, 2957, 14785

Step-4: Factors of 73939

List of positive integer factors of 73939 that divides 73925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73925 and 73939. The biggest common factor number is the GCF number.
So the greatest common factor 73925 and 73939 is 1.

Also check out the Least Common Multiple of 73925 and 73939