What is the Greatest Common Factor of 81612 and 81627?

Greatest common factor (GCF) of 81612 and 81627 is 3.

GCF(81612,81627) = 3

We will now calculate the prime factors of 81612 and 81627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81612 and 81627.

How to find the GCF of 81612 and 81627?

We will first find the prime factorization of 81612 and 81627. After we will calculate the factors of 81612 and 81627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81627

Prime factors of 81627 are 3, 7, 13, 23. Prime factorization of 81627 in exponential form is:

81627 = 3¹ × 7¹ × 13² × 23¹

Step-3: Factors of 81612

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

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

Step-4: Factors of 81627

List of positive integer factors of 81627 that divides 81612 without a remainder.

1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 169, 273, 299, 483, 507, 897, 1183, 2093, 3549, 3887, 6279, 11661, 27209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81612 and 81627. The biggest common factor number is the GCF number.
So the greatest common factor 81612 and 81627 is 3.

Also check out the Least Common Multiple of 81612 and 81627