What is the Greatest Common Factor of 81632 and 81646?

Greatest common factor (GCF) of 81632 and 81646 is 2.

GCF(81632,81646) = 2

We will now calculate the prime factors of 81632 and 81646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81632 and 81646.

How to find the GCF of 81632 and 81646?

We will first find the prime factorization of 81632 and 81646. After we will calculate the factors of 81632 and 81646 and find the biggest common factor number .

Step-1: Prime Factorization of 81632

Prime factors of 81632 are 2, 2551. Prime factorization of 81632 in exponential form is:

81632 = 2⁵ × 2551¹

Step-2: Prime Factorization of 81646

Prime factors of 81646 are 2, 40823. Prime factorization of 81646 in exponential form is:

81646 = 2¹ × 40823¹

Step-3: Factors of 81632

List of positive integer factors of 81632 that divides 81632 without a remainder.

1, 2, 4, 8, 16, 32, 2551, 5102, 10204, 20408, 40816

Step-4: Factors of 81646

List of positive integer factors of 81646 that divides 81632 without a remainder.

1, 2, 40823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81632 and 81646. The biggest common factor number is the GCF number.
So the greatest common factor 81632 and 81646 is 2.

Also check out the Least Common Multiple of 81632 and 81646