What is the Greatest Common Factor of 97086 and 97104?

Greatest common factor (GCF) of 97086 and 97104 is 6.

GCF(97086,97104) = 6

We will now calculate the prime factors of 97086 and 97104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97086 and 97104.

How to find the GCF of 97086 and 97104?

We will first find the prime factorization of 97086 and 97104. After we will calculate the factors of 97086 and 97104 and find the biggest common factor number .

Step-1: Prime Factorization of 97086

Prime factors of 97086 are 2, 3, 11, 1471. Prime factorization of 97086 in exponential form is:

97086 = 2¹ × 3¹ × 11¹ × 1471¹

Step-2: 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-3: Factors of 97086

List of positive integer factors of 97086 that divides 97086 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1471, 2942, 4413, 8826, 16181, 32362, 48543

Step-4: Factors of 97104

List of positive integer factors of 97104 that divides 97086 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97086 and 97104. The biggest common factor number is the GCF number.
So the greatest common factor 97086 and 97104 is 6.

Also check out the Least Common Multiple of 97086 and 97104