What is the Greatest Common Factor of 81738 and 81743?

Greatest common factor (GCF) of 81738 and 81743 is 1.

GCF(81738,81743) = 1

We will now calculate the prime factors of 81738 and 81743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81738 and 81743.

How to find the GCF of 81738 and 81743?

We will first find the prime factorization of 81738 and 81743. After we will calculate the factors of 81738 and 81743 and find the biggest common factor number .

Step-1: Prime Factorization of 81738

Prime factors of 81738 are 2, 3, 19, 239. Prime factorization of 81738 in exponential form is:

81738 = 2¹ × 3² × 19¹ × 239¹

Step-2: Prime Factorization of 81743

Prime factors of 81743 are 43, 1901. Prime factorization of 81743 in exponential form is:

81743 = 43¹ × 1901¹

Step-3: Factors of 81738

List of positive integer factors of 81738 that divides 81738 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 239, 342, 478, 717, 1434, 2151, 4302, 4541, 9082, 13623, 27246, 40869

Step-4: Factors of 81743

List of positive integer factors of 81743 that divides 81738 without a remainder.

1, 43, 1901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81738 and 81743. The biggest common factor number is the GCF number.
So the greatest common factor 81738 and 81743 is 1.

Also check out the Least Common Multiple of 81738 and 81743