What is the Greatest Common Factor of 81594 and 81612?

Greatest common factor (GCF) of 81594 and 81612 is 18.

GCF(81594,81612) = 18

We will now calculate the prime factors of 81594 and 81612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81594 and 81612.

How to find the GCF of 81594 and 81612?

We will first find the prime factorization of 81594 and 81612. After we will calculate the factors of 81594 and 81612 and find the biggest common factor number .

Step-1: Prime Factorization of 81594

Prime factors of 81594 are 2, 3, 1511. Prime factorization of 81594 in exponential form is:

81594 = 2¹ × 3³ × 1511¹

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 81594

List of positive integer factors of 81594 that divides 81594 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1511, 3022, 4533, 9066, 13599, 27198, 40797

Step-4: Factors of 81612

List of positive integer factors of 81612 that divides 81594 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 81594 and 81612. The biggest common factor number is the GCF number.
So the greatest common factor 81594 and 81612 is 18.

Also check out the Least Common Multiple of 81594 and 81612