What is the Greatest Common Factor of 93945 and 93955?

Greatest common factor (GCF) of 93945 and 93955 is 5.

GCF(93945,93955) = 5

We will now calculate the prime factors of 93945 and 93955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93945 and 93955.

How to find the GCF of 93945 and 93955?

We will first find the prime factorization of 93945 and 93955. After we will calculate the factors of 93945 and 93955 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 93955

Prime factors of 93955 are 5, 19, 23, 43. Prime factorization of 93955 in exponential form is:

93955 = 5¹ × 19¹ × 23¹ × 43¹

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 93955

List of positive integer factors of 93955 that divides 93945 without a remainder.

1, 5, 19, 23, 43, 95, 115, 215, 437, 817, 989, 2185, 4085, 4945, 18791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93945 and 93955. The biggest common factor number is the GCF number.
So the greatest common factor 93945 and 93955 is 5.

Also check out the Least Common Multiple of 93945 and 93955