What is the Greatest Common Factor of 81025 and 81033?

Greatest common factor (GCF) of 81025 and 81033 is 1.

GCF(81025,81033) = 1

We will now calculate the prime factors of 81025 and 81033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81025 and 81033.

How to find the GCF of 81025 and 81033?

We will first find the prime factorization of 81025 and 81033. After we will calculate the factors of 81025 and 81033 and find the biggest common factor number .

Step-1: Prime Factorization of 81025

Prime factors of 81025 are 5, 7, 463. Prime factorization of 81025 in exponential form is:

81025 = 5² × 7¹ × 463¹

Step-2: Prime Factorization of 81033

Prime factors of 81033 are 3, 27011. Prime factorization of 81033 in exponential form is:

81033 = 3¹ × 27011¹

Step-3: Factors of 81025

List of positive integer factors of 81025 that divides 81025 without a remainder.

1, 5, 7, 25, 35, 175, 463, 2315, 3241, 11575, 16205

Step-4: Factors of 81033

List of positive integer factors of 81033 that divides 81025 without a remainder.

1, 3, 27011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81025 and 81033. The biggest common factor number is the GCF number.
So the greatest common factor 81025 and 81033 is 1.

Also check out the Least Common Multiple of 81025 and 81033