What is the Greatest Common Factor of 81748 and 81757?

Greatest common factor (GCF) of 81748 and 81757 is 1.

GCF(81748,81757) = 1

We will now calculate the prime factors of 81748 and 81757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81748 and 81757.

How to find the GCF of 81748 and 81757?

We will first find the prime factorization of 81748 and 81757. After we will calculate the factors of 81748 and 81757 and find the biggest common factor number .

Step-1: Prime Factorization of 81748

Prime factors of 81748 are 2, 107, 191. Prime factorization of 81748 in exponential form is:

81748 = 2² × 107¹ × 191¹

Step-2: Prime Factorization of 81757

Prime factors of 81757 are 13, 19, 331. Prime factorization of 81757 in exponential form is:

81757 = 13¹ × 19¹ × 331¹

Step-3: Factors of 81748

List of positive integer factors of 81748 that divides 81748 without a remainder.

1, 2, 4, 107, 191, 214, 382, 428, 764, 20437, 40874

Step-4: Factors of 81757

List of positive integer factors of 81757 that divides 81748 without a remainder.

1, 13, 19, 247, 331, 4303, 6289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81748 and 81757. The biggest common factor number is the GCF number.
So the greatest common factor 81748 and 81757 is 1.

Also check out the Least Common Multiple of 81748 and 81757