What is the Greatest Common Factor of 97898 and 97902?

Greatest common factor (GCF) of 97898 and 97902 is 2.

GCF(97898,97902) = 2

We will now calculate the prime factors of 97898 and 97902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97898 and 97902.

How to find the GCF of 97898 and 97902?

We will first find the prime factorization of 97898 and 97902. After we will calculate the factors of 97898 and 97902 and find the biggest common factor number .

Step-1: Prime Factorization of 97898

Prime factors of 97898 are 2, 31, 1579. Prime factorization of 97898 in exponential form is:

97898 = 2¹ × 31¹ × 1579¹

Step-2: Prime Factorization of 97902

Prime factors of 97902 are 2, 3, 7, 37. Prime factorization of 97902 in exponential form is:

97902 = 2¹ × 3³ × 7² × 37¹

Step-3: Factors of 97898

List of positive integer factors of 97898 that divides 97898 without a remainder.

1, 2, 31, 62, 1579, 3158, 48949

Step-4: Factors of 97902

List of positive integer factors of 97902 that divides 97898 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 37, 42, 49, 54, 63, 74, 98, 111, 126, 147, 189, 222, 259, 294, 333, 378, 441, 518, 666, 777, 882, 999, 1323, 1554, 1813, 1998, 2331, 2646, 3626, 4662, 5439, 6993, 10878, 13986, 16317, 32634, 48951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97898 and 97902. The biggest common factor number is the GCF number.
So the greatest common factor 97898 and 97902 is 2.

Also check out the Least Common Multiple of 97898 and 97902