What is the Greatest Common Factor of 81090 and 81100?

Greatest common factor (GCF) of 81090 and 81100 is 10.

GCF(81090,81100) = 10

We will now calculate the prime factors of 81090 and 81100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81090 and 81100.

How to find the GCF of 81090 and 81100?

We will first find the prime factorization of 81090 and 81100. After we will calculate the factors of 81090 and 81100 and find the biggest common factor number .

Step-1: Prime Factorization of 81090

Prime factors of 81090 are 2, 3, 5, 17, 53. Prime factorization of 81090 in exponential form is:

81090 = 2¹ × 3² × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 81100

Prime factors of 81100 are 2, 5, 811. Prime factorization of 81100 in exponential form is:

81100 = 2² × 5² × 811¹

Step-3: Factors of 81090

List of positive integer factors of 81090 that divides 81090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 53, 85, 90, 102, 106, 153, 159, 170, 255, 265, 306, 318, 477, 510, 530, 765, 795, 901, 954, 1530, 1590, 1802, 2385, 2703, 4505, 4770, 5406, 8109, 9010, 13515, 16218, 27030, 40545

Step-4: Factors of 81100

List of positive integer factors of 81100 that divides 81090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 811, 1622, 3244, 4055, 8110, 16220, 20275, 40550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81090 and 81100. The biggest common factor number is the GCF number.
So the greatest common factor 81090 and 81100 is 10.

Also check out the Least Common Multiple of 81090 and 81100