What is the Greatest Common Factor of 82643 and 82654?

Greatest common factor (GCF) of 82643 and 82654 is 11.

GCF(82643,82654) = 11

We will now calculate the prime factors of 82643 and 82654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82643 and 82654.

How to find the GCF of 82643 and 82654?

We will first find the prime factorization of 82643 and 82654. After we will calculate the factors of 82643 and 82654 and find the biggest common factor number .

Step-1: Prime Factorization of 82643

Prime factors of 82643 are 11, 683. Prime factorization of 82643 in exponential form is:

82643 = 11² × 683¹

Step-2: 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-3: Factors of 82643

List of positive integer factors of 82643 that divides 82643 without a remainder.

1, 11, 121, 683, 7513

Step-4: Factors of 82654

List of positive integer factors of 82654 that divides 82643 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82643 and 82654. The biggest common factor number is the GCF number.
So the greatest common factor 82643 and 82654 is 11.

Also check out the Least Common Multiple of 82643 and 82654