What is the Greatest Common Factor of 81141 and 81150?

Greatest common factor (GCF) of 81141 and 81150 is 3.

GCF(81141,81150) = 3

We will now calculate the prime factors of 81141 and 81150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81141 and 81150.

How to find the GCF of 81141 and 81150?

We will first find the prime factorization of 81141 and 81150. After we will calculate the factors of 81141 and 81150 and find the biggest common factor number .

Step-1: Prime Factorization of 81141

Prime factors of 81141 are 3, 17, 37, 43. Prime factorization of 81141 in exponential form is:

81141 = 3¹ × 17¹ × 37¹ × 43¹

Step-2: Prime Factorization of 81150

Prime factors of 81150 are 2, 3, 5, 541. Prime factorization of 81150 in exponential form is:

81150 = 2¹ × 3¹ × 5² × 541¹

Step-3: Factors of 81141

List of positive integer factors of 81141 that divides 81141 without a remainder.

1, 3, 17, 37, 43, 51, 111, 129, 629, 731, 1591, 1887, 2193, 4773, 27047

Step-4: Factors of 81150

List of positive integer factors of 81150 that divides 81141 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 541, 1082, 1623, 2705, 3246, 5410, 8115, 13525, 16230, 27050, 40575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81141 and 81150. The biggest common factor number is the GCF number.
So the greatest common factor 81141 and 81150 is 3.

Also check out the Least Common Multiple of 81141 and 81150