What is the Greatest Common Factor of 82654 and 82671?

Greatest common factor (GCF) of 82654 and 82671 is 17.

GCF(82654,82671) = 17

We will now calculate the prime factors of 82654 and 82671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82654 and 82671.

How to find the GCF of 82654 and 82671?

We will first find the prime factorization of 82654 and 82671. After we will calculate the factors of 82654 and 82671 and find the biggest common factor number .

Step-1: Prime Factorization of 82654

Prime factors of 82654 are 2, 11, 13, 17. Prime factorization of 82654 in exponential form is:

82654 = 2¹ × 11¹ × 13¹ × 17²

Step-2: Prime Factorization of 82671

Prime factors of 82671 are 3, 17, 1621. Prime factorization of 82671 in exponential form is:

82671 = 3¹ × 17¹ × 1621¹

Step-3: Factors of 82654

List of positive integer factors of 82654 that divides 82654 without a remainder.

1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 289, 374, 442, 578, 2431, 3179, 3757, 4862, 6358, 7514, 41327

Step-4: Factors of 82671

List of positive integer factors of 82671 that divides 82654 without a remainder.

1, 3, 17, 51, 1621, 4863, 27557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82654 and 82671. The biggest common factor number is the GCF number.
So the greatest common factor 82654 and 82671 is 17.

Also check out the Least Common Multiple of 82654 and 82671