What is the Greatest Common Factor of 89025 and 89029?

Greatest common factor (GCF) of 89025 and 89029 is 1.

GCF(89025,89029) = 1

We will now calculate the prime factors of 89025 and 89029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89025 and 89029.

How to find the GCF of 89025 and 89029?

We will first find the prime factorization of 89025 and 89029. After we will calculate the factors of 89025 and 89029 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 89029

Prime factors of 89029 are 17, 5237. Prime factorization of 89029 in exponential form is:

89029 = 17¹ × 5237¹

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 89029

List of positive integer factors of 89029 that divides 89025 without a remainder.

1, 17, 5237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89025 and 89029. The biggest common factor number is the GCF number.
So the greatest common factor 89025 and 89029 is 1.

Also check out the Least Common Multiple of 89025 and 89029