What is the Greatest Common Factor of 81025 and 81029?

Greatest common factor (GCF) of 81025 and 81029 is 1.

GCF(81025,81029) = 1

We will now calculate the prime factors of 81025 and 81029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81025 and 81029.

How to find the GCF of 81025 and 81029?

We will first find the prime factorization of 81025 and 81029. After we will calculate the factors of 81025 and 81029 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 81029

Prime factors of 81029 are 13, 23, 271. Prime factorization of 81029 in exponential form is:

81029 = 13¹ × 23¹ × 271¹

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 81029

List of positive integer factors of 81029 that divides 81025 without a remainder.

1, 13, 23, 271, 299, 3523, 6233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81025 and 81029. The biggest common factor number is the GCF number.
So the greatest common factor 81025 and 81029 is 1.

Also check out the Least Common Multiple of 81025 and 81029