What is the Greatest Common Factor of 89025 and 89035?

Greatest common factor (GCF) of 89025 and 89035 is 5.

GCF(89025,89035) = 5

We will now calculate the prime factors of 89025 and 89035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89025 and 89035.

How to find the GCF of 89025 and 89035?

We will first find the prime factorization of 89025 and 89035. After we will calculate the factors of 89025 and 89035 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 89035

Prime factors of 89035 are 5, 17807. Prime factorization of 89035 in exponential form is:

89035 = 5¹ × 17807¹

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 89035

List of positive integer factors of 89035 that divides 89025 without a remainder.

1, 5, 17807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89025 and 89035. The biggest common factor number is the GCF number.
So the greatest common factor 89025 and 89035 is 5.

Also check out the Least Common Multiple of 89025 and 89035