What is the Greatest Common Factor of 89943 and 89955?

Greatest common factor (GCF) of 89943 and 89955 is 3.

GCF(89943,89955) = 3

We will now calculate the prime factors of 89943 and 89955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89943 and 89955.

How to find the GCF of 89943 and 89955?

We will first find the prime factorization of 89943 and 89955. After we will calculate the factors of 89943 and 89955 and find the biggest common factor number .

Step-1: Prime Factorization of 89943

Prime factors of 89943 are 3, 7, 4283. Prime factorization of 89943 in exponential form is:

89943 = 3¹ × 7¹ × 4283¹

Step-2: Prime Factorization of 89955

Prime factors of 89955 are 3, 5, 1999. Prime factorization of 89955 in exponential form is:

89955 = 3² × 5¹ × 1999¹

Step-3: Factors of 89943

List of positive integer factors of 89943 that divides 89943 without a remainder.

1, 3, 7, 21, 4283, 12849, 29981

Step-4: Factors of 89955

List of positive integer factors of 89955 that divides 89943 without a remainder.

1, 3, 5, 9, 15, 45, 1999, 5997, 9995, 17991, 29985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89943 and 89955. The biggest common factor number is the GCF number.
So the greatest common factor 89943 and 89955 is 3.

Also check out the Least Common Multiple of 89943 and 89955