What is the Greatest Common Factor of 97902 and 97917?

Greatest common factor (GCF) of 97902 and 97917 is 3.

GCF(97902,97917) = 3

We will now calculate the prime factors of 97902 and 97917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97902 and 97917.

How to find the GCF of 97902 and 97917?

We will first find the prime factorization of 97902 and 97917. After we will calculate the factors of 97902 and 97917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97917

Prime factors of 97917 are 3, 127, 257. Prime factorization of 97917 in exponential form is:

97917 = 3¹ × 127¹ × 257¹

Step-3: Factors of 97902

List of positive integer factors of 97902 that divides 97902 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

Step-4: Factors of 97917

List of positive integer factors of 97917 that divides 97902 without a remainder.

1, 3, 127, 257, 381, 771, 32639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97902 and 97917. The biggest common factor number is the GCF number.
So the greatest common factor 97902 and 97917 is 3.

Also check out the Least Common Multiple of 97902 and 97917