What is the Greatest Common Factor of 82693 and 82706?

Greatest common factor (GCF) of 82693 and 82706 is 13.

GCF(82693,82706) = 13

We will now calculate the prime factors of 82693 and 82706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82693 and 82706.

How to find the GCF of 82693 and 82706?

We will first find the prime factorization of 82693 and 82706. After we will calculate the factors of 82693 and 82706 and find the biggest common factor number .

Step-1: Prime Factorization of 82693

Prime factors of 82693 are 13, 6361. Prime factorization of 82693 in exponential form is:

82693 = 13¹ × 6361¹

Step-2: Prime Factorization of 82706

Prime factors of 82706 are 2, 13, 3181. Prime factorization of 82706 in exponential form is:

82706 = 2¹ × 13¹ × 3181¹

Step-3: Factors of 82693

List of positive integer factors of 82693 that divides 82693 without a remainder.

1, 13, 6361

Step-4: Factors of 82706

List of positive integer factors of 82706 that divides 82693 without a remainder.

1, 2, 13, 26, 3181, 6362, 41353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82693 and 82706. The biggest common factor number is the GCF number.
So the greatest common factor 82693 and 82706 is 13.

Also check out the Least Common Multiple of 82693 and 82706