What is the Greatest Common Factor of 81125 and 81144?

Greatest common factor (GCF) of 81125 and 81144 is 1.

GCF(81125,81144) = 1

We will now calculate the prime factors of 81125 and 81144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81125 and 81144.

How to find the GCF of 81125 and 81144?

We will first find the prime factorization of 81125 and 81144. After we will calculate the factors of 81125 and 81144 and find the biggest common factor number .

Step-1: Prime Factorization of 81125

Prime factors of 81125 are 5, 11, 59. Prime factorization of 81125 in exponential form is:

81125 = 5³ × 11¹ × 59¹

Step-2: 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-3: Factors of 81125

List of positive integer factors of 81125 that divides 81125 without a remainder.

1, 5, 11, 25, 55, 59, 125, 275, 295, 649, 1375, 1475, 3245, 7375, 16225

Step-4: Factors of 81144

List of positive integer factors of 81144 that divides 81125 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81125 and 81144. The biggest common factor number is the GCF number.
So the greatest common factor 81125 and 81144 is 1.

Also check out the Least Common Multiple of 81125 and 81144