What is the Greatest Common Factor of 89925 and 89934?

Greatest common factor (GCF) of 89925 and 89934 is 3.

GCF(89925,89934) = 3

We will now calculate the prime factors of 89925 and 89934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89925 and 89934.

How to find the GCF of 89925 and 89934?

We will first find the prime factorization of 89925 and 89934. After we will calculate the factors of 89925 and 89934 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 89934

Prime factors of 89934 are 2, 3, 13, 1153. Prime factorization of 89934 in exponential form is:

89934 = 2¹ × 3¹ × 13¹ × 1153¹

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 89934

List of positive integer factors of 89934 that divides 89925 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1153, 2306, 3459, 6918, 14989, 29978, 44967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89925 and 89934. The biggest common factor number is the GCF number.
So the greatest common factor 89925 and 89934 is 3.

Also check out the Least Common Multiple of 89925 and 89934