What is the Greatest Common Factor of 81288 and 81300?

Greatest common factor (GCF) of 81288 and 81300 is 12.

GCF(81288,81300) = 12

We will now calculate the prime factors of 81288 and 81300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81288 and 81300.

How to find the GCF of 81288 and 81300?

We will first find the prime factorization of 81288 and 81300. After we will calculate the factors of 81288 and 81300 and find the biggest common factor number .

Step-1: Prime Factorization of 81288

Prime factors of 81288 are 2, 3, 1129. Prime factorization of 81288 in exponential form is:

81288 = 2³ × 3² × 1129¹

Step-2: Prime Factorization of 81300

Prime factors of 81300 are 2, 3, 5, 271. Prime factorization of 81300 in exponential form is:

81300 = 2² × 3¹ × 5² × 271¹

Step-3: Factors of 81288

List of positive integer factors of 81288 that divides 81288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1129, 2258, 3387, 4516, 6774, 9032, 10161, 13548, 20322, 27096, 40644

Step-4: Factors of 81300

List of positive integer factors of 81300 that divides 81288 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 271, 300, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 6775, 8130, 13550, 16260, 20325, 27100, 40650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81288 and 81300. The biggest common factor number is the GCF number.
So the greatest common factor 81288 and 81300 is 12.

Also check out the Least Common Multiple of 81288 and 81300