What is the Greatest Common Factor of 82898 and 82908?

Greatest common factor (GCF) of 82898 and 82908 is 2.

GCF(82898,82908) = 2

We will now calculate the prime factors of 82898 and 82908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82898 and 82908.

How to find the GCF of 82898 and 82908?

We will first find the prime factorization of 82898 and 82908. After we will calculate the factors of 82898 and 82908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82908

Prime factors of 82908 are 2, 3, 7, 47. Prime factorization of 82908 in exponential form is:

82908 = 2² × 3² × 7² × 47¹

Step-3: Factors of 82898

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

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

Step-4: Factors of 82908

List of positive integer factors of 82908 that divides 82898 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 49, 63, 84, 94, 98, 126, 141, 147, 188, 196, 252, 282, 294, 329, 423, 441, 564, 588, 658, 846, 882, 987, 1316, 1692, 1764, 1974, 2303, 2961, 3948, 4606, 5922, 6909, 9212, 11844, 13818, 20727, 27636, 41454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82898 and 82908. The biggest common factor number is the GCF number.
So the greatest common factor 82898 and 82908 is 2.

Also check out the Least Common Multiple of 82898 and 82908