What is the Greatest Common Factor of 81625 and 81633?

Greatest common factor (GCF) of 81625 and 81633 is 1.

GCF(81625,81633) = 1

We will now calculate the prime factors of 81625 and 81633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81625 and 81633.

How to find the GCF of 81625 and 81633?

We will first find the prime factorization of 81625 and 81633. After we will calculate the factors of 81625 and 81633 and find the biggest common factor number .

Step-1: Prime Factorization of 81625

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

81625 = 5³ × 653¹

Step-2: Prime Factorization of 81633

Prime factors of 81633 are 3, 27211. Prime factorization of 81633 in exponential form is:

81633 = 3¹ × 27211¹

Step-3: Factors of 81625

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

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

Step-4: Factors of 81633

List of positive integer factors of 81633 that divides 81625 without a remainder.

1, 3, 27211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81625 and 81633. The biggest common factor number is the GCF number.
So the greatest common factor 81625 and 81633 is 1.

Also check out the Least Common Multiple of 81625 and 81633