What is the Greatest Common Factor of 81025 and 81031?

Greatest common factor (GCF) of 81025 and 81031 is 1.

GCF(81025,81031) = 1

We will now calculate the prime factors of 81025 and 81031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81025 and 81031.

How to find the GCF of 81025 and 81031?

We will first find the prime factorization of 81025 and 81031. After we will calculate the factors of 81025 and 81031 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 81031

Prime factors of 81031 are 81031. Prime factorization of 81031 in exponential form is:

81031 = 81031¹

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 81031

List of positive integer factors of 81031 that divides 81025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81025 and 81031. The biggest common factor number is the GCF number.
So the greatest common factor 81025 and 81031 is 1.

Also check out the Least Common Multiple of 81025 and 81031