What is the Greatest Common Factor of 82884 and 82898?

Greatest common factor (GCF) of 82884 and 82898 is 2.

GCF(82884,82898) = 2

We will now calculate the prime factors of 82884 and 82898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82884 and 82898.

How to find the GCF of 82884 and 82898?

We will first find the prime factorization of 82884 and 82898. After we will calculate the factors of 82884 and 82898 and find the biggest common factor number .

Step-1: Prime Factorization of 82884

Prime factors of 82884 are 2, 3, 6907. Prime factorization of 82884 in exponential form is:

82884 = 2² × 3¹ × 6907¹

Step-2: Prime Factorization of 82898

Prime factors of 82898 are 2, 181, 229. Prime factorization of 82898 in exponential form is:

82898 = 2¹ × 181¹ × 229¹

Step-3: Factors of 82884

List of positive integer factors of 82884 that divides 82884 without a remainder.

1, 2, 3, 4, 6, 12, 6907, 13814, 20721, 27628, 41442

Step-4: Factors of 82898

List of positive integer factors of 82898 that divides 82884 without a remainder.

1, 2, 181, 229, 362, 458, 41449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82884 and 82898. The biggest common factor number is the GCF number.
So the greatest common factor 82884 and 82898 is 2.

Also check out the Least Common Multiple of 82884 and 82898