What is the Greatest Common Factor of 93945 and 93965?

Greatest common factor (GCF) of 93945 and 93965 is 5.

GCF(93945,93965) = 5

We will now calculate the prime factors of 93945 and 93965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93945 and 93965.

How to find the GCF of 93945 and 93965?

We will first find the prime factorization of 93945 and 93965. After we will calculate the factors of 93945 and 93965 and find the biggest common factor number .

Step-1: Prime Factorization of 93945

Prime factors of 93945 are 3, 5, 6263. Prime factorization of 93945 in exponential form is:

93945 = 3¹ × 5¹ × 6263¹

Step-2: Prime Factorization of 93965

Prime factors of 93965 are 5, 18793. Prime factorization of 93965 in exponential form is:

93965 = 5¹ × 18793¹

Step-3: Factors of 93945

List of positive integer factors of 93945 that divides 93945 without a remainder.

1, 3, 5, 15, 6263, 18789, 31315

Step-4: Factors of 93965

List of positive integer factors of 93965 that divides 93945 without a remainder.

1, 5, 18793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93945 and 93965. The biggest common factor number is the GCF number.
So the greatest common factor 93945 and 93965 is 5.

Also check out the Least Common Multiple of 93945 and 93965