What is the Greatest Common Factor of 89925 and 89943?

Greatest common factor (GCF) of 89925 and 89943 is 3.

GCF(89925,89943) = 3

We will now calculate the prime factors of 89925 and 89943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89925 and 89943.

How to find the GCF of 89925 and 89943?

We will first find the prime factorization of 89925 and 89943. After we will calculate the factors of 89925 and 89943 and find the biggest common factor number .

Step-1: Prime Factorization of 89925

Prime factors of 89925 are 3, 5, 11, 109. Prime factorization of 89925 in exponential form is:

89925 = 3¹ × 5² × 11¹ × 109¹

Step-2: 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-3: Factors of 89925

List of positive integer factors of 89925 that divides 89925 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 109, 165, 275, 327, 545, 825, 1199, 1635, 2725, 3597, 5995, 8175, 17985, 29975

Step-4: Factors of 89943

List of positive integer factors of 89943 that divides 89925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89925 and 89943. The biggest common factor number is the GCF number.
So the greatest common factor 89925 and 89943 is 3.

Also check out the Least Common Multiple of 89925 and 89943