What is the Greatest Common Factor of 81705 and 81722?

Greatest common factor (GCF) of 81705 and 81722 is 1.

GCF(81705,81722) = 1

We will now calculate the prime factors of 81705 and 81722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81705 and 81722.

How to find the GCF of 81705 and 81722?

We will first find the prime factorization of 81705 and 81722. After we will calculate the factors of 81705 and 81722 and find the biggest common factor number .

Step-1: Prime Factorization of 81705

Prime factors of 81705 are 3, 5, 13, 419. Prime factorization of 81705 in exponential form is:

81705 = 3¹ × 5¹ × 13¹ × 419¹

Step-2: Prime Factorization of 81722

Prime factors of 81722 are 2, 29, 1409. Prime factorization of 81722 in exponential form is:

81722 = 2¹ × 29¹ × 1409¹

Step-3: Factors of 81705

List of positive integer factors of 81705 that divides 81705 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 419, 1257, 2095, 5447, 6285, 16341, 27235

Step-4: Factors of 81722

List of positive integer factors of 81722 that divides 81705 without a remainder.

1, 2, 29, 58, 1409, 2818, 40861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81705 and 81722. The biggest common factor number is the GCF number.
So the greatest common factor 81705 and 81722 is 1.

Also check out the Least Common Multiple of 81705 and 81722