What is the Greatest Common Factor of 81608 and 81612?

Greatest common factor (GCF) of 81608 and 81612 is 4.

GCF(81608,81612) = 4

We will now calculate the prime factors of 81608 and 81612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81608 and 81612.

How to find the GCF of 81608 and 81612?

We will first find the prime factorization of 81608 and 81612. After we will calculate the factors of 81608 and 81612 and find the biggest common factor number .

Step-1: Prime Factorization of 81608

Prime factors of 81608 are 2, 101. Prime factorization of 81608 in exponential form is:

81608 = 2³ × 101²

Step-2: Prime Factorization of 81612

Prime factors of 81612 are 2, 3, 2267. Prime factorization of 81612 in exponential form is:

81612 = 2² × 3² × 2267¹

Step-3: Factors of 81608

List of positive integer factors of 81608 that divides 81608 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808, 10201, 20402, 40804

Step-4: Factors of 81612

List of positive integer factors of 81612 that divides 81608 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2267, 4534, 6801, 9068, 13602, 20403, 27204, 40806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81608 and 81612. The biggest common factor number is the GCF number.
So the greatest common factor 81608 and 81612 is 4.

Also check out the Least Common Multiple of 81608 and 81612