What is the Greatest Common Factor of 89025 and 89038?

Greatest common factor (GCF) of 89025 and 89038 is 1.

GCF(89025,89038) = 1

We will now calculate the prime factors of 89025 and 89038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89025 and 89038.

How to find the GCF of 89025 and 89038?

We will first find the prime factorization of 89025 and 89038. After we will calculate the factors of 89025 and 89038 and find the biggest common factor number .

Step-1: Prime Factorization of 89025

Prime factors of 89025 are 3, 5, 1187. Prime factorization of 89025 in exponential form is:

89025 = 3¹ × 5² × 1187¹

Step-2: Prime Factorization of 89038

Prime factors of 89038 are 2, 44519. Prime factorization of 89038 in exponential form is:

89038 = 2¹ × 44519¹

Step-3: Factors of 89025

List of positive integer factors of 89025 that divides 89025 without a remainder.

1, 3, 5, 15, 25, 75, 1187, 3561, 5935, 17805, 29675

Step-4: Factors of 89038

List of positive integer factors of 89038 that divides 89025 without a remainder.

1, 2, 44519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89025 and 89038. The biggest common factor number is the GCF number.
So the greatest common factor 89025 and 89038 is 1.

Also check out the Least Common Multiple of 89025 and 89038