What is the Greatest Common Factor of 82691 and 82705?

Greatest common factor (GCF) of 82691 and 82705 is 7.

GCF(82691,82705) = 7

We will now calculate the prime factors of 82691 and 82705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82691 and 82705.

How to find the GCF of 82691 and 82705?

We will first find the prime factorization of 82691 and 82705. After we will calculate the factors of 82691 and 82705 and find the biggest common factor number .

Step-1: Prime Factorization of 82691

Prime factors of 82691 are 7, 11813. Prime factorization of 82691 in exponential form is:

82691 = 7¹ × 11813¹

Step-2: Prime Factorization of 82705

Prime factors of 82705 are 5, 7, 17, 139. Prime factorization of 82705 in exponential form is:

82705 = 5¹ × 7¹ × 17¹ × 139¹

Step-3: Factors of 82691

List of positive integer factors of 82691 that divides 82691 without a remainder.

1, 7, 11813

Step-4: Factors of 82705

List of positive integer factors of 82705 that divides 82691 without a remainder.

1, 5, 7, 17, 35, 85, 119, 139, 595, 695, 973, 2363, 4865, 11815, 16541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82691 and 82705. The biggest common factor number is the GCF number.
So the greatest common factor 82691 and 82705 is 7.

Also check out the Least Common Multiple of 82691 and 82705