What is the Greatest Common Factor of 82874 and 82882?

Greatest common factor (GCF) of 82874 and 82882 is 2.

GCF(82874,82882) = 2

We will now calculate the prime factors of 82874 and 82882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82874 and 82882.

How to find the GCF of 82874 and 82882?

We will first find the prime factorization of 82874 and 82882. After we will calculate the factors of 82874 and 82882 and find the biggest common factor number .

Step-1: Prime Factorization of 82874

Prime factors of 82874 are 2, 11, 3767. Prime factorization of 82874 in exponential form is:

82874 = 2¹ × 11¹ × 3767¹

Step-2: Prime Factorization of 82882

Prime factors of 82882 are 2, 29, 1429. Prime factorization of 82882 in exponential form is:

82882 = 2¹ × 29¹ × 1429¹

Step-3: Factors of 82874

List of positive integer factors of 82874 that divides 82874 without a remainder.

1, 2, 11, 22, 3767, 7534, 41437

Step-4: Factors of 82882

List of positive integer factors of 82882 that divides 82874 without a remainder.

1, 2, 29, 58, 1429, 2858, 41441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82874 and 82882. The biggest common factor number is the GCF number.
So the greatest common factor 82874 and 82882 is 2.

Also check out the Least Common Multiple of 82874 and 82882