What is the Greatest Common Factor of 81025 and 81035?

Greatest common factor (GCF) of 81025 and 81035 is 5.

GCF(81025,81035) = 5

We will now calculate the prime factors of 81025 and 81035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81025 and 81035.

How to find the GCF of 81025 and 81035?

We will first find the prime factorization of 81025 and 81035. After we will calculate the factors of 81025 and 81035 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 81035

Prime factors of 81035 are 5, 19, 853. Prime factorization of 81035 in exponential form is:

81035 = 5¹ × 19¹ × 853¹

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 81035

List of positive integer factors of 81035 that divides 81025 without a remainder.

1, 5, 19, 95, 853, 4265, 16207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81025 and 81035. The biggest common factor number is the GCF number.
So the greatest common factor 81025 and 81035 is 5.

Also check out the Least Common Multiple of 81025 and 81035