What is the Greatest Common Factor of 82654 and 82660?

Greatest common factor (GCF) of 82654 and 82660 is 2.

GCF(82654,82660) = 2

We will now calculate the prime factors of 82654 and 82660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82654 and 82660.

How to find the GCF of 82654 and 82660?

We will first find the prime factorization of 82654 and 82660. After we will calculate the factors of 82654 and 82660 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 82660

Prime factors of 82660 are 2, 5, 4133. Prime factorization of 82660 in exponential form is:

82660 = 2² × 5¹ × 4133¹

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 82660

List of positive integer factors of 82660 that divides 82654 without a remainder.

1, 2, 4, 5, 10, 20, 4133, 8266, 16532, 20665, 41330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82654 and 82660. The biggest common factor number is the GCF number.
So the greatest common factor 82654 and 82660 is 2.

Also check out the Least Common Multiple of 82654 and 82660