What is the Greatest Common Factor of 81628 and 81632?

Greatest common factor (GCF) of 81628 and 81632 is 4.

GCF(81628,81632) = 4

We will now calculate the prime factors of 81628 and 81632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81628 and 81632.

How to find the GCF of 81628 and 81632?

We will first find the prime factorization of 81628 and 81632. After we will calculate the factors of 81628 and 81632 and find the biggest common factor number .

Step-1: Prime Factorization of 81628

Prime factors of 81628 are 2, 20407. Prime factorization of 81628 in exponential form is:

81628 = 2² × 20407¹

Step-2: Prime Factorization of 81632

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

81632 = 2⁵ × 2551¹

Step-3: Factors of 81628

List of positive integer factors of 81628 that divides 81628 without a remainder.

1, 2, 4, 20407, 40814

Step-4: Factors of 81632

List of positive integer factors of 81632 that divides 81628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81628 and 81632. The biggest common factor number is the GCF number.
So the greatest common factor 81628 and 81632 is 4.

Also check out the Least Common Multiple of 81628 and 81632