What is the Greatest Common Factor of 82849 and 82862?

Greatest common factor (GCF) of 82849 and 82862 is 13.

GCF(82849,82862) = 13

We will now calculate the prime factors of 82849 and 82862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82849 and 82862.

How to find the GCF of 82849 and 82862?

We will first find the prime factorization of 82849 and 82862. After we will calculate the factors of 82849 and 82862 and find the biggest common factor number .

Step-1: Prime Factorization of 82849

Prime factors of 82849 are 13, 6373. Prime factorization of 82849 in exponential form is:

82849 = 13¹ × 6373¹

Step-2: Prime Factorization of 82862

Prime factors of 82862 are 2, 13, 3187. Prime factorization of 82862 in exponential form is:

82862 = 2¹ × 13¹ × 3187¹

Step-3: Factors of 82849

List of positive integer factors of 82849 that divides 82849 without a remainder.

1, 13, 6373

Step-4: Factors of 82862

List of positive integer factors of 82862 that divides 82849 without a remainder.

1, 2, 13, 26, 3187, 6374, 41431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82849 and 82862. The biggest common factor number is the GCF number.
So the greatest common factor 82849 and 82862 is 13.

Also check out the Least Common Multiple of 82849 and 82862