What is the Greatest Common Factor of 97104 and 97121?

Greatest common factor (GCF) of 97104 and 97121 is 17.

GCF(97104,97121) = 17

We will now calculate the prime factors of 97104 and 97121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97104 and 97121.

How to find the GCF of 97104 and 97121?

We will first find the prime factorization of 97104 and 97121. After we will calculate the factors of 97104 and 97121 and find the biggest common factor number .

Step-1: Prime Factorization of 97104

Prime factors of 97104 are 2, 3, 7, 17. Prime factorization of 97104 in exponential form is:

97104 = 2⁴ × 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 97121

Prime factors of 97121 are 17, 29, 197. Prime factorization of 97121 in exponential form is:

97121 = 17¹ × 29¹ × 197¹

Step-3: Factors of 97104

List of positive integer factors of 97104 that divides 97104 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 289, 336, 357, 408, 476, 578, 714, 816, 867, 952, 1156, 1428, 1734, 1904, 2023, 2312, 2856, 3468, 4046, 4624, 5712, 6069, 6936, 8092, 12138, 13872, 16184, 24276, 32368, 48552

Step-4: Factors of 97121

List of positive integer factors of 97121 that divides 97104 without a remainder.

1, 17, 29, 197, 493, 3349, 5713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97104 and 97121. The biggest common factor number is the GCF number.
So the greatest common factor 97104 and 97121 is 17.

Also check out the Least Common Multiple of 97104 and 97121