What is the Greatest Common Factor of 89025 and 89045?

Greatest common factor (GCF) of 89025 and 89045 is 5.

GCF(89025,89045) = 5

We will now calculate the prime factors of 89025 and 89045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89025 and 89045.

How to find the GCF of 89025 and 89045?

We will first find the prime factorization of 89025 and 89045. After we will calculate the factors of 89025 and 89045 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 89045

Prime factors of 89045 are 5, 11, 1619. Prime factorization of 89045 in exponential form is:

89045 = 5¹ × 11¹ × 1619¹

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 89045

List of positive integer factors of 89045 that divides 89025 without a remainder.

1, 5, 11, 55, 1619, 8095, 17809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89025 and 89045. The biggest common factor number is the GCF number.
So the greatest common factor 89025 and 89045 is 5.

Also check out the Least Common Multiple of 89025 and 89045