What is the Greatest Common Factor of 89943 and 89952?

Greatest common factor (GCF) of 89943 and 89952 is 3.

GCF(89943,89952) = 3

We will now calculate the prime factors of 89943 and 89952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89943 and 89952.

How to find the GCF of 89943 and 89952?

We will first find the prime factorization of 89943 and 89952. After we will calculate the factors of 89943 and 89952 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 89952

Prime factors of 89952 are 2, 3, 937. Prime factorization of 89952 in exponential form is:

89952 = 2⁵ × 3¹ × 937¹

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 89952

List of positive integer factors of 89952 that divides 89943 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488, 29984, 44976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89943 and 89952. The biggest common factor number is the GCF number.
So the greatest common factor 89943 and 89952 is 3.

Also check out the Least Common Multiple of 89943 and 89952