What is the Greatest Common Factor of 81084 and 81103?

Greatest common factor (GCF) of 81084 and 81103 is 1.

GCF(81084,81103) = 1

We will now calculate the prime factors of 81084 and 81103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81084 and 81103.

How to find the GCF of 81084 and 81103?

We will first find the prime factorization of 81084 and 81103. After we will calculate the factors of 81084 and 81103 and find the biggest common factor number .

Step-1: Prime Factorization of 81084

Prime factors of 81084 are 2, 3, 29, 233. Prime factorization of 81084 in exponential form is:

81084 = 2² × 3¹ × 29¹ × 233¹

Step-2: Prime Factorization of 81103

Prime factors of 81103 are 11, 73, 101. Prime factorization of 81103 in exponential form is:

81103 = 11¹ × 73¹ × 101¹

Step-3: Factors of 81084

List of positive integer factors of 81084 that divides 81084 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 233, 348, 466, 699, 932, 1398, 2796, 6757, 13514, 20271, 27028, 40542

Step-4: Factors of 81103

List of positive integer factors of 81103 that divides 81084 without a remainder.

1, 11, 73, 101, 803, 1111, 7373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81084 and 81103. The biggest common factor number is the GCF number.
So the greatest common factor 81084 and 81103 is 1.

Also check out the Least Common Multiple of 81084 and 81103