What is the Greatest Common Factor of 81612 and 81618?

Greatest common factor (GCF) of 81612 and 81618 is 6.

GCF(81612,81618) = 6

We will now calculate the prime factors of 81612 and 81618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81612 and 81618.

How to find the GCF of 81612 and 81618?

We will first find the prime factorization of 81612 and 81618. After we will calculate the factors of 81612 and 81618 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 81618

Prime factors of 81618 are 2, 3, 61, 223. Prime factorization of 81618 in exponential form is:

81618 = 2¹ × 3¹ × 61¹ × 223¹

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 81618

List of positive integer factors of 81618 that divides 81612 without a remainder.

1, 2, 3, 6, 61, 122, 183, 223, 366, 446, 669, 1338, 13603, 27206, 40809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81612 and 81618. The biggest common factor number is the GCF number.
So the greatest common factor 81612 and 81618 is 6.

Also check out the Least Common Multiple of 81612 and 81618