What is the Greatest Common Factor of 81747 and 81762?

Greatest common factor (GCF) of 81747 and 81762 is 3.

GCF(81747,81762) = 3

We will now calculate the prime factors of 81747 and 81762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81747 and 81762.

How to find the GCF of 81747 and 81762?

We will first find the prime factorization of 81747 and 81762. After we will calculate the factors of 81747 and 81762 and find the biggest common factor number .

Step-1: Prime Factorization of 81747

Prime factors of 81747 are 3, 31, 293. Prime factorization of 81747 in exponential form is:

81747 = 3² × 31¹ × 293¹

Step-2: Prime Factorization of 81762

Prime factors of 81762 are 2, 3, 13627. Prime factorization of 81762 in exponential form is:

81762 = 2¹ × 3¹ × 13627¹

Step-3: Factors of 81747

List of positive integer factors of 81747 that divides 81747 without a remainder.

1, 3, 9, 31, 93, 279, 293, 879, 2637, 9083, 27249

Step-4: Factors of 81762

List of positive integer factors of 81762 that divides 81747 without a remainder.

1, 2, 3, 6, 13627, 27254, 40881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81747 and 81762. The biggest common factor number is the GCF number.
So the greatest common factor 81747 and 81762 is 3.

Also check out the Least Common Multiple of 81747 and 81762