What is the Greatest Common Factor of 89943 and 89949?

Greatest common factor (GCF) of 89943 and 89949 is 3.

GCF(89943,89949) = 3

We will now calculate the prime factors of 89943 and 89949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89943 and 89949.

How to find the GCF of 89943 and 89949?

We will first find the prime factorization of 89943 and 89949. After we will calculate the factors of 89943 and 89949 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 89949

Prime factors of 89949 are 3, 29983. Prime factorization of 89949 in exponential form is:

89949 = 3¹ × 29983¹

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 89949

List of positive integer factors of 89949 that divides 89943 without a remainder.

1, 3, 29983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89943 and 89949. The biggest common factor number is the GCF number.
So the greatest common factor 89943 and 89949 is 3.

Also check out the Least Common Multiple of 89943 and 89949