What is the Greatest Common Factor of 81741 and 81752?

Greatest common factor (GCF) of 81741 and 81752 is 11.

GCF(81741,81752) = 11

We will now calculate the prime factors of 81741 and 81752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81741 and 81752.

How to find the GCF of 81741 and 81752?

We will first find the prime factorization of 81741 and 81752. After we will calculate the factors of 81741 and 81752 and find the biggest common factor number .

Step-1: Prime Factorization of 81741

Prime factors of 81741 are 3, 11, 2477. Prime factorization of 81741 in exponential form is:

81741 = 3¹ × 11¹ × 2477¹

Step-2: Prime Factorization of 81752

Prime factors of 81752 are 2, 11, 929. Prime factorization of 81752 in exponential form is:

81752 = 2³ × 11¹ × 929¹

Step-3: Factors of 81741

List of positive integer factors of 81741 that divides 81741 without a remainder.

1, 3, 11, 33, 2477, 7431, 27247

Step-4: Factors of 81752

List of positive integer factors of 81752 that divides 81741 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 929, 1858, 3716, 7432, 10219, 20438, 40876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81741 and 81752. The biggest common factor number is the GCF number.
So the greatest common factor 81741 and 81752 is 11.

Also check out the Least Common Multiple of 81741 and 81752