What is the Greatest Common Factor of 81144 and 81153?

Greatest common factor (GCF) of 81144 and 81153 is 9.

GCF(81144,81153) = 9

We will now calculate the prime factors of 81144 and 81153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81144 and 81153.

How to find the GCF of 81144 and 81153?

We will first find the prime factorization of 81144 and 81153. After we will calculate the factors of 81144 and 81153 and find the biggest common factor number .

Step-1: Prime Factorization of 81144

Prime factors of 81144 are 2, 3, 7, 23. Prime factorization of 81144 in exponential form is:

81144 = 2³ × 3² × 7² × 23¹

Step-2: Prime Factorization of 81153

Prime factors of 81153 are 3, 71, 127. Prime factorization of 81153 in exponential form is:

81153 = 3² × 71¹ × 127¹

Step-3: Factors of 81144

List of positive integer factors of 81144 that divides 81144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 23, 24, 28, 36, 42, 46, 49, 56, 63, 69, 72, 84, 92, 98, 126, 138, 147, 161, 168, 184, 196, 207, 252, 276, 294, 322, 392, 414, 441, 483, 504, 552, 588, 644, 828, 882, 966, 1127, 1176, 1288, 1449, 1656, 1764, 1932, 2254, 2898, 3381, 3528, 3864, 4508, 5796, 6762, 9016, 10143, 11592, 13524, 20286, 27048, 40572

Step-4: Factors of 81153

List of positive integer factors of 81153 that divides 81144 without a remainder.

1, 3, 9, 71, 127, 213, 381, 639, 1143, 9017, 27051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81144 and 81153. The biggest common factor number is the GCF number.
So the greatest common factor 81144 and 81153 is 9.

Also check out the Least Common Multiple of 81144 and 81153