What is the Greatest Common Factor of 81605 and 81625?

Greatest common factor (GCF) of 81605 and 81625 is 5.

GCF(81605,81625) = 5

We will now calculate the prime factors of 81605 and 81625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81605 and 81625.

How to find the GCF of 81605 and 81625?

We will first find the prime factorization of 81605 and 81625. After we will calculate the factors of 81605 and 81625 and find the biggest common factor number .

Step-1: Prime Factorization of 81605

Prime factors of 81605 are 5, 19, 859. Prime factorization of 81605 in exponential form is:

81605 = 5¹ × 19¹ × 859¹

Step-2: Prime Factorization of 81625

Prime factors of 81625 are 5, 653. Prime factorization of 81625 in exponential form is:

81625 = 5³ × 653¹

Step-3: Factors of 81605

List of positive integer factors of 81605 that divides 81605 without a remainder.

1, 5, 19, 95, 859, 4295, 16321

Step-4: Factors of 81625

List of positive integer factors of 81625 that divides 81605 without a remainder.

1, 5, 25, 125, 653, 3265, 16325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81605 and 81625. The biggest common factor number is the GCF number.
So the greatest common factor 81605 and 81625 is 5.

Also check out the Least Common Multiple of 81605 and 81625