What is the Greatest Common Factor of 75975 and 75993?

Greatest common factor (GCF) of 75975 and 75993 is 3.

GCF(75975,75993) = 3

We will now calculate the prime factors of 75975 and 75993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75975 and 75993.

How to find the GCF of 75975 and 75993?

We will first find the prime factorization of 75975 and 75993. After we will calculate the factors of 75975 and 75993 and find the biggest common factor number .

Step-1: Prime Factorization of 75975

Prime factors of 75975 are 3, 5, 1013. Prime factorization of 75975 in exponential form is:

75975 = 3¹ × 5² × 1013¹

Step-2: Prime Factorization of 75993

Prime factors of 75993 are 3, 73, 347. Prime factorization of 75993 in exponential form is:

75993 = 3¹ × 73¹ × 347¹

Step-3: Factors of 75975

List of positive integer factors of 75975 that divides 75975 without a remainder.

1, 3, 5, 15, 25, 75, 1013, 3039, 5065, 15195, 25325

Step-4: Factors of 75993

List of positive integer factors of 75993 that divides 75975 without a remainder.

1, 3, 73, 219, 347, 1041, 25331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75975 and 75993. The biggest common factor number is the GCF number.
So the greatest common factor 75975 and 75993 is 3.

Also check out the Least Common Multiple of 75975 and 75993