What is the Greatest Common Factor of 81090 and 81094?

Greatest common factor (GCF) of 81090 and 81094 is 2.

GCF(81090,81094) = 2

We will now calculate the prime factors of 81090 and 81094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81090 and 81094.

How to find the GCF of 81090 and 81094?

We will first find the prime factorization of 81090 and 81094. After we will calculate the factors of 81090 and 81094 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 81094

Prime factors of 81094 are 2, 13, 3119. Prime factorization of 81094 in exponential form is:

81094 = 2¹ × 13¹ × 3119¹

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 81094

List of positive integer factors of 81094 that divides 81090 without a remainder.

1, 2, 13, 26, 3119, 6238, 40547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81090 and 81094. The biggest common factor number is the GCF number.
So the greatest common factor 81090 and 81094 is 2.

Also check out the Least Common Multiple of 81090 and 81094