What is the Greatest Common Factor of 82892 and 82902?

Greatest common factor (GCF) of 82892 and 82902 is 2.

GCF(82892,82902) = 2

We will now calculate the prime factors of 82892 and 82902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82892 and 82902.

How to find the GCF of 82892 and 82902?

We will first find the prime factorization of 82892 and 82902. After we will calculate the factors of 82892 and 82902 and find the biggest common factor number .

Step-1: Prime Factorization of 82892

Prime factors of 82892 are 2, 17, 23, 53. Prime factorization of 82892 in exponential form is:

82892 = 2² × 17¹ × 23¹ × 53¹

Step-2: Prime Factorization of 82902

Prime factors of 82902 are 2, 3, 41, 337. Prime factorization of 82902 in exponential form is:

82902 = 2¹ × 3¹ × 41¹ × 337¹

Step-3: Factors of 82892

List of positive integer factors of 82892 that divides 82892 without a remainder.

1, 2, 4, 17, 23, 34, 46, 53, 68, 92, 106, 212, 391, 782, 901, 1219, 1564, 1802, 2438, 3604, 4876, 20723, 41446

Step-4: Factors of 82902

List of positive integer factors of 82902 that divides 82892 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 337, 674, 1011, 2022, 13817, 27634, 41451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82892 and 82902. The biggest common factor number is the GCF number.
So the greatest common factor 82892 and 82902 is 2.

Also check out the Least Common Multiple of 82892 and 82902