What is the Greatest Common Factor of 81025 and 81045?

Greatest common factor (GCF) of 81025 and 81045 is 5.

GCF(81025,81045) = 5

We will now calculate the prime factors of 81025 and 81045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81025 and 81045.

How to find the GCF of 81025 and 81045?

We will first find the prime factorization of 81025 and 81045. After we will calculate the factors of 81025 and 81045 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 81045

Prime factors of 81045 are 3, 5, 1801. Prime factorization of 81045 in exponential form is:

81045 = 3² × 5¹ × 1801¹

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 81045

List of positive integer factors of 81045 that divides 81025 without a remainder.

1, 3, 5, 9, 15, 45, 1801, 5403, 9005, 16209, 27015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81025 and 81045. The biggest common factor number is the GCF number.
So the greatest common factor 81025 and 81045 is 5.

Also check out the Least Common Multiple of 81025 and 81045